It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 402 is not a prime number.
For example, 504 402 can be divided by 2: 504 402 / 2 = 252 201.
For 504 402 to be a prime number, it would have been required that 504 402 has only two divisors, i.e., itself and 1.
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504 402 is an even number, because it is evenly divisible by 2: 504 402 / 2 = 252 201.
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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 504 402 is about 710.213.
Thus, the square root of 504 402 is not an integer, and therefore 504 402 is not a square number.
The square of a number (here 504 402) is the result of the product of this number (504 402) by itself (i.e., 504 402 × 504 402); the square of 504 402 is sometimes called "raising 504 402 to the power 2", or "504 402 squared".
The square of 504 402 is 254 421 377 604 because 504 402 × 504 402 = 504 4022 = 254 421 377 604.
As a consequence, 504 402 is the square root of 254 421 377 604.
The multiples of 504 402 are all integers evenly divisible by 504 402, that is all numbers such that the remainder of the division by 504 402 is zero. There are infinitely many multiples of 504 402. The smallest multiples of 504 402 are: