It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 418 is not a prime number.
For example, 508 418 can be divided by 2: 508 418 / 2 = 254 209.
For 508 418 to be a prime number, it would have been required that 508 418 has only two divisors, i.e., itself and 1.
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508 418 is an even number, because it is evenly divisible by 2: 508 418 / 2 = 254 209.
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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 508 418 is about 713.034.
Thus, the square root of 508 418 is not an integer, and therefore 508 418 is not a square number.
The square of a number (here 508 418) is the result of the product of this number (508 418) by itself (i.e., 508 418 × 508 418); the square of 508 418 is sometimes called "raising 508 418 to the power 2", or "508 418 squared".
The square of 508 418 is 258 488 862 724 because 508 418 × 508 418 = 508 4182 = 258 488 862 724.
As a consequence, 508 418 is the square root of 258 488 862 724.
The multiples of 508 418 are all integers evenly divisible by 508 418, that is all numbers such that the remainder of the division by 508 418 is zero. There are infinitely many multiples of 508 418. The smallest multiples of 508 418 are: