diff --git a/numpy/__init__.pyi b/numpy/__init__.pyi
index 539c5fa53c..812ea117b0 100644
--- a/numpy/__init__.pyi
+++ b/numpy/__init__.pyi
@@ -227,7 +227,7 @@
 # library include `typing_extensions` stubs:
 # https://github.com/python/typeshed/blob/main/stdlib/typing_extensions.pyi
 from _typeshed import StrOrBytesPath, SupportsFlush, SupportsLenAndGetItem, SupportsWrite
-from typing_extensions import CapsuleType, LiteralString, Never, Protocol, Self, TypeVar, Unpack, deprecated, overload
+from typing_extensions import CapsuleType, LiteralString, Never, Protocol, Self, TypeVar, Unpack, overload
 
 from numpy import (
     char,
@@ -880,7 +880,7 @@
 ]  # fmt: skip
 _FloatingCType: TypeAlias = type[ct.c_float | ct.c_double | ct.c_longdouble]
 _IntegerCType: TypeAlias = _UnsignedIntegerCType | _SignedIntegerCType
-_NumberCType: TypeAlias = _IntegerCType | _IntegerCType
+_NumberCType: TypeAlias = _IntegerCType
 _GenericCType: TypeAlias = _NumberCType | type[ct.c_bool | ct.c_char | ct.py_object[Any]]
 
 # some commonly used builtin types that are known to result in a
@@ -898,11 +898,11 @@
 _ByteOrderChar: TypeAlias = L["<", ">", "=", "|"]
 # can be anything, is case-insensitive, and only the first character matters
 _ByteOrder: TypeAlias = L[
-    "S",                # swap the current order (default)
-    "<", "L", "little", # little-endian
-    ">", "B", "big",    # big endian
-    "=", "N", "native", # native order
-    "|", "I",           # ignore
+    "S",                 # swap the current order (default)
+    "<", "L", "little",  # little-endian
+    ">", "B", "big",     # big endian
+    "=", "N", "native",  # native order
+    "|", "I",            # ignore
 ]  # fmt: skip
 _DTypeKind: TypeAlias = L[
     "b",  # boolean
@@ -982,9 +982,9 @@
 
 _CastingKind: TypeAlias = L["no", "equiv", "safe", "same_kind", "unsafe"]
 
-_OrderKACF: TypeAlias = L[None, "K", "A", "C", "F"]
-_OrderACF: TypeAlias = L[None, "A", "C", "F"]
-_OrderCF: TypeAlias = L[None, "C", "F"]
+_OrderKACF: TypeAlias = L["K", "A", "C", "F"] | None
+_OrderACF: TypeAlias = L["A", "C", "F"] | None
+_OrderCF: TypeAlias = L["C", "F"] | None
 
 _ModeKind: TypeAlias = L["raise", "wrap", "clip"]
 _PartitionKind: TypeAlias = L["introselect"]
@@ -999,7 +999,7 @@
 _SortSide: TypeAlias = L["left", "right"]
 
 _ConvertibleToInt: TypeAlias = SupportsInt | SupportsIndex | _CharLike_co
-_ConvertibleToFloat: TypeAlias =  SupportsFloat | SupportsIndex | _CharLike_co
+_ConvertibleToFloat: TypeAlias = SupportsFloat | SupportsIndex | _CharLike_co
 if sys.version_info >= (3, 11):
     _ConvertibleToComplex: TypeAlias = SupportsComplex | SupportsFloat | SupportsIndex | _CharLike_co
 else:
@@ -1049,7 +1049,7 @@
 
 _DT64Date: TypeAlias = _HasDateAttributes | L["TODAY", "today", b"TODAY", b"today"]
 _DT64Now: TypeAlias = L["NOW", "now", b"NOW", b"now"]
-_NaTValue: TypeAlias = L["NAT","NaT", "nat",b"NAT", b"NaT", b"nat"]
+_NaTValue: TypeAlias = L["NAT", "NaT", "nat", b"NAT", b"NaT", b"nat"]
 
 _MonthUnit: TypeAlias = L["Y", "M", b"Y", b"M"]
 _DayUnit: TypeAlias = L["W", "D", b"W", b"D"]
@@ -1082,8 +1082,7 @@ def tell(self) -> SupportsIndex: ...
     def seek(self, offset: int, whence: int, /) -> object: ...
 
 @type_check_only
-class _SupportsFileMethodsRW(SupportsWrite[bytes], _SupportsFileMethods, Protocol):
-    pass
+class _SupportsFileMethodsRW(SupportsWrite[bytes], _SupportsFileMethods, Protocol): ...
 
 @type_check_only
 class _SupportsItem(Protocol[_T_co]):
@@ -1150,7 +1149,6 @@ def month(self) -> int: ...
     @property
     def year(self) -> int: ...
 
-
 ### Mixins (for internal use only)
 
 @type_check_only
@@ -1635,7 +1633,6 @@ def str(self) -> LiteralString: ...
     @property
     def type(self) -> type[_SCT_co]: ...
 
-
 @final
 class flatiter(Generic[_ArrayT_co]):
     __hash__: ClassVar[None]
@@ -1713,8 +1710,6 @@ def copy(self, order: _OrderKACF = ...) -> Self: ...
     def dump(self, file: StrOrBytesPath | SupportsWrite[bytes]) -> None: ...
     def dumps(self) -> bytes: ...
     def tobytes(self, order: _OrderKACF = ...) -> bytes: ...
-    # NOTE: `tostring()` is deprecated and therefore excluded
-    # def tostring(self, order=...): ...
     def tofile(self, fid: StrOrBytesPath | _SupportsFileMethods, sep: str = ..., format: str = ...) -> None: ...
     # generics and 0d arrays return builtin scalars
     def tolist(self) -> Any: ...
@@ -3903,8 +3898,6 @@ def __int__(self: np.bool[L[False]], /) -> L[0]: ...
     def __int__(self: np.bool[L[True]], /) -> L[1]: ...
     @overload
     def __int__(self, /) -> L[0, 1]: ...
-    @deprecated("In future, it will be an error for 'np.bool' scalars to be interpreted as an index")
-    def __index__(self, /) -> L[0, 1]: ...
     def __abs__(self) -> Self: ...
 
     @overload
@@ -4279,7 +4272,6 @@ def __rmod__(self, other: _Float64_co, /) -> float64: ...  # type: ignore[overri
     def __divmod__(self, other: _Float64_co, /) -> _2Tuple[float64]: ...  # type: ignore[override]
     def __rdivmod__(self, other: _Float64_co, /) -> _2Tuple[float64]: ...  # type: ignore[override]
 
-
 half: TypeAlias = floating[_NBitHalf]
 single: TypeAlias = floating[_NBitSingle]
 double: TypeAlias = floating[_NBitDouble]
@@ -4308,11 +4300,6 @@ def imag(self) -> floating[_NBit2]: ...  # type: ignore[override]
     # NOTE: `__complex__` is technically defined in the concrete subtypes
     def __complex__(self, /) -> complex: ...
     def __abs__(self, /) -> floating[_NBit1 | _NBit2]: ...  # type: ignore[override]
-    @deprecated(
-        "The Python built-in `round` is deprecated for complex scalars, and will raise a `TypeError` in a future release. "
-        "Use `np.round` or `scalar.round` instead."
-    )
-    def __round__(self, /, ndigits: SupportsIndex | None = None) -> Self: ...
 
     @overload
     def __add__(self, other: _Complex64_co, /) -> complexfloating[_NBit1, _NBit2]: ...
@@ -5036,7 +5023,6 @@ def __new__(
         cls, dtype: str
     ) -> finfo[floating[Any]]: ...
 
-
 class iinfo(Generic[_IntegerT_co]):
     dtype: Final[dtype[_IntegerT_co]]
     kind: Final[LiteralString]
@@ -5269,7 +5255,6 @@ def integ(
         k: None | _ArrayLikeComplex_co | _ArrayLikeObject_co = ...,
     ) -> poly1d: ...
 
-
 class matrix(ndarray[_2DShapeT_co, _DType_co]):
     __array_priority__: ClassVar[float]
     def __new__(
@@ -5406,7 +5391,7 @@ def flatten(self, /, order: _OrderKACF = "C") -> matrix[tuple[L[1], int], _DType
     @property
     def T(self) -> matrix[_2D, _DType_co]: ...
     @property
-    def I(self) -> matrix[_2D, Any]: ...
+    def I(self) -> matrix[_2D, Any]: ...  # noqa: E743
     @property
     def A(self) -> ndarray[_2DShapeT_co, _DType_co]: ...
     @property
@@ -5419,7 +5404,6 @@ def getA(self) -> ndarray[_2DShapeT_co, _DType_co]: ...
     def getA1(self) -> ndarray[_Shape, _DType_co]: ...
     def getH(self) -> matrix[_2D, _DType_co]: ...
 
-
 def from_dlpack(
     x: _SupportsDLPack[None],
     /,