It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 424 is not a prime number.
For example, 504 424 can be divided by 2: 504 424 / 2 = 252 212.
For 504 424 to be a prime number, it would have been required that 504 424 has only two divisors, i.e., itself and 1.
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504 424 is an even number, because it is evenly divisible by 2: 504 424 / 2 = 252 212.
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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 504 424 is about 710.228.
Thus, the square root of 504 424 is not an integer, and therefore 504 424 is not a square number.
The square of a number (here 504 424) is the result of the product of this number (504 424) by itself (i.e., 504 424 × 504 424); the square of 504 424 is sometimes called "raising 504 424 to the power 2", or "504 424 squared".
The square of 504 424 is 254 443 571 776 because 504 424 × 504 424 = 504 4242 = 254 443 571 776.
As a consequence, 504 424 is the square root of 254 443 571 776.
The multiples of 504 424 are all integers evenly divisible by 504 424, that is all numbers such that the remainder of the division by 504 424 is zero. There are infinitely many multiples of 504 424. The smallest multiples of 504 424 are: