It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 424 is not a prime number.
For example, 508 424 can be divided by 2: 508 424 / 2 = 254 212.
For 508 424 to be a prime number, it would have been required that 508 424 has only two divisors, i.e., itself and 1.
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508 424 is an even number, because it is evenly divisible by 2: 508 424 / 2 = 254 212.
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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 508 424 is about 713.039.
Thus, the square root of 508 424 is not an integer, and therefore 508 424 is not a square number.
The square of a number (here 508 424) is the result of the product of this number (508 424) by itself (i.e., 508 424 × 508 424); the square of 508 424 is sometimes called "raising 508 424 to the power 2", or "508 424 squared".
The square of 508 424 is 258 494 963 776 because 508 424 × 508 424 = 508 4242 = 258 494 963 776.
As a consequence, 508 424 is the square root of 258 494 963 776.
The multiples of 508 424 are all integers evenly divisible by 508 424, that is all numbers such that the remainder of the division by 508 424 is zero. There are infinitely many multiples of 508 424. The smallest multiples of 508 424 are: