It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 402 is not a prime number.
For example, 507 402 can be divided by 2: 507 402 / 2 = 253 701.
For 507 402 to be a prime number, it would have been required that 507 402 has only two divisors, i.e., itself and 1.
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507 402 is an even number, because it is evenly divisible by 2: 507 402 / 2 = 253 701.
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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 507 402 is about 712.322.
Thus, the square root of 507 402 is not an integer, and therefore 507 402 is not a square number.
The square of a number (here 507 402) is the result of the product of this number (507 402) by itself (i.e., 507 402 × 507 402); the square of 507 402 is sometimes called "raising 507 402 to the power 2", or "507 402 squared".
The square of 507 402 is 257 456 789 604 because 507 402 × 507 402 = 507 4022 = 257 456 789 604.
As a consequence, 507 402 is the square root of 257 456 789 604.
The multiples of 507 402 are all integers evenly divisible by 507 402, that is all numbers such that the remainder of the division by 507 402 is zero. There are infinitely many multiples of 507 402. The smallest multiples of 507 402 are: