It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 398 is not a prime number.
For example, 508 398 can be divided by 2: 508 398 / 2 = 254 199.
For 508 398 to be a prime number, it would have been required that 508 398 has only two divisors, i.e., itself and 1.
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508 398 is an even number, because it is evenly divisible by 2: 508 398 / 2 = 254 199.
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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 508 398 is about 713.020.
Thus, the square root of 508 398 is not an integer, and therefore 508 398 is not a square number.
The square of a number (here 508 398) is the result of the product of this number (508 398) by itself (i.e., 508 398 × 508 398); the square of 508 398 is sometimes called "raising 508 398 to the power 2", or "508 398 squared".
The square of 508 398 is 258 468 526 404 because 508 398 × 508 398 = 508 3982 = 258 468 526 404.
As a consequence, 508 398 is the square root of 258 468 526 404.
The multiples of 508 398 are all integers evenly divisible by 508 398, that is all numbers such that the remainder of the division by 508 398 is zero. There are infinitely many multiples of 508 398. The smallest multiples of 508 398 are: