It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 478 is not a prime number.
For example, 512 478 can be divided by 2: 512 478 / 2 = 256 239.
For 512 478 to be a prime number, it would have been required that 512 478 has only two divisors, i.e., itself and 1.
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512 478 is an even number, because it is evenly divisible by 2: 512 478 / 2 = 256 239.
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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 512 478 is about 715.876.
Thus, the square root of 512 478 is not an integer, and therefore 512 478 is not a square number.
The square of a number (here 512 478) is the result of the product of this number (512 478) by itself (i.e., 512 478 × 512 478); the square of 512 478 is sometimes called "raising 512 478 to the power 2", or "512 478 squared".
The square of 512 478 is 262 633 700 484 because 512 478 × 512 478 = 512 4782 = 262 633 700 484.
As a consequence, 512 478 is the square root of 262 633 700 484.
The multiples of 512 478 are all integers evenly divisible by 512 478, that is all numbers such that the remainder of the division by 512 478 is zero. There are infinitely many multiples of 512 478. The smallest multiples of 512 478 are: