It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 426 is not a prime number.
For example, 508 426 can be divided by 2: 508 426 / 2 = 254 213.
For 508 426 to be a prime number, it would have been required that 508 426 has only two divisors, i.e., itself and 1.
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508 426 is an even number, because it is evenly divisible by 2: 508 426 / 2 = 254 213.
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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 508 426 is about 713.040.
Thus, the square root of 508 426 is not an integer, and therefore 508 426 is not a square number.
The square of a number (here 508 426) is the result of the product of this number (508 426) by itself (i.e., 508 426 × 508 426); the square of 508 426 is sometimes called "raising 508 426 to the power 2", or "508 426 squared".
The square of 508 426 is 258 496 997 476 because 508 426 × 508 426 = 508 4262 = 258 496 997 476.
As a consequence, 508 426 is the square root of 258 496 997 476.
The multiples of 508 426 are all integers evenly divisible by 508 426, that is all numbers such that the remainder of the division by 508 426 is zero. There are infinitely many multiples of 508 426. The smallest multiples of 508 426 are: