It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 396 is not a prime number.
For example, 508 396 can be divided by 2: 508 396 / 2 = 254 198.
For 508 396 to be a prime number, it would have been required that 508 396 has only two divisors, i.e., itself and 1.
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508 396 is an even number, because it is evenly divisible by 2: 508 396 / 2 = 254 198.
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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 508 396 is about 713.019.
Thus, the square root of 508 396 is not an integer, and therefore 508 396 is not a square number.
The square of a number (here 508 396) is the result of the product of this number (508 396) by itself (i.e., 508 396 × 508 396); the square of 508 396 is sometimes called "raising 508 396 to the power 2", or "508 396 squared".
The square of 508 396 is 258 466 492 816 because 508 396 × 508 396 = 508 3962 = 258 466 492 816.
As a consequence, 508 396 is the square root of 258 466 492 816.
The multiples of 508 396 are all integers evenly divisible by 508 396, that is all numbers such that the remainder of the division by 508 396 is zero. There are infinitely many multiples of 508 396. The smallest multiples of 508 396 are: