int * is the type, so it makes perfect sense. It's just that pointer notation in C can take some effort to get used to. But look at this code
typedef int* int_ptr;
int x;
int_ptr ptr = &x;
Same thing. However, it's often advised to NOT typedef pointers.
The confusion comes from that * serves two roles. It is BOTH to name a type AND to dereference a pointer. An example of the first is sizeof(int*)
If you declare several pointers at once it looks messier, but it's still the same. In general, it's recommended to not declare more than one pointer at once. Because if we would like to do the above thing with two pointers, it would look like this:
int *pa = &x, *pb = &x;
That's the same as
int *pa = &x;
int *pb = &x;
And this does something completely different and will generate a warning because you're assigning the address of a variable to the pb variable that has type int
int *pa = &x, pb = &x;
However, using the typedef from above, you can (but probably shouldn't) do this:
int_ptr pa=&x, pb = &x;
But one way to think of it is that it makes no sense at all in any situation to dereference an uninitialized pointer.
And what is the best way to read and think of int *ptr=&x?
Take the fact that it does not make sense to dereference an uninitialized pointer. And you're doing an initialization of a pointer, and therefore you should initialize it with a (valid) address.
Ok, I see that, another thing. If the type is int* why is it almost always written like with the * next to the pointer variable instead, like int *ptr?, it would make more sense, even if it is the same to write it like int* ptr.
Because, then it would be MUCH easier to forget the asterisk if you declare several pointers at once. That would give the impression that int* p,q; declares two pointers.
C pointer syntax is clunky. It's a very old language. Just get used to it. It will never change. Just for fun, here is a page that can tell what a declaration is https://cdecl.org/ so try these:
int (*p)[3]
int *p[3]
const int *p[3]
int *const p[3]
const int (*p)[3]
int (*const p)[3]