It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 392 is not a prime number.
For example, 508 392 can be divided by 2: 508 392 / 2 = 254 196.
For 508 392 to be a prime number, it would have been required that 508 392 has only two divisors, i.e., itself and 1.
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508 392 is an even number, because it is evenly divisible by 2: 508 392 / 2 = 254 196.
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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 508 392 is about 713.016.
Thus, the square root of 508 392 is not an integer, and therefore 508 392 is not a square number.
The square of a number (here 508 392) is the result of the product of this number (508 392) by itself (i.e., 508 392 × 508 392); the square of 508 392 is sometimes called "raising 508 392 to the power 2", or "508 392 squared".
The square of 508 392 is 258 462 425 664 because 508 392 × 508 392 = 508 3922 = 258 462 425 664.
As a consequence, 508 392 is the square root of 258 462 425 664.
The multiples of 508 392 are all integers evenly divisible by 508 392, that is all numbers such that the remainder of the division by 508 392 is zero. There are infinitely many multiples of 508 392. The smallest multiples of 508 392 are: