It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 464 is not a prime number.
For example, 512 464 can be divided by 2: 512 464 / 2 = 256 232.
For 512 464 to be a prime number, it would have been required that 512 464 has only two divisors, i.e., itself and 1.
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512 464 is an even number, because it is evenly divisible by 2: 512 464 / 2 = 256 232.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 512 464 is about 715.866.
Thus, the square root of 512 464 is not an integer, and therefore 512 464 is not a square number.
The square of a number (here 512 464) is the result of the product of this number (512 464) by itself (i.e., 512 464 × 512 464); the square of 512 464 is sometimes called "raising 512 464 to the power 2", or "512 464 squared".
The square of 512 464 is 262 619 351 296 because 512 464 × 512 464 = 512 4642 = 262 619 351 296.
As a consequence, 512 464 is the square root of 262 619 351 296.
The multiples of 512 464 are all integers evenly divisible by 512 464, that is all numbers such that the remainder of the division by 512 464 is zero. There are infinitely many multiples of 512 464. The smallest multiples of 512 464 are: