It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 398 is not a prime number.
For example, 500 398 can be divided by 2: 500 398 / 2 = 250 199.
For 500 398 to be a prime number, it would have been required that 500 398 has only two divisors, i.e., itself and 1.
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500 398 is an even number, because it is evenly divisible by 2: 500 398 / 2 = 250 199.
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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 500 398 is about 707.388.
Thus, the square root of 500 398 is not an integer, and therefore 500 398 is not a square number.
The square of a number (here 500 398) is the result of the product of this number (500 398) by itself (i.e., 500 398 × 500 398); the square of 500 398 is sometimes called "raising 500 398 to the power 2", or "500 398 squared".
The square of 500 398 is 250 398 158 404 because 500 398 × 500 398 = 500 3982 = 250 398 158 404.
As a consequence, 500 398 is the square root of 250 398 158 404.
The multiples of 500 398 are all integers evenly divisible by 500 398, that is all numbers such that the remainder of the division by 500 398 is zero. There are infinitely many multiples of 500 398. The smallest multiples of 500 398 are: