It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 304 is not a prime number.
For example, 504 304 can be divided by 2: 504 304 / 2 = 252 152.
For 504 304 to be a prime number, it would have been required that 504 304 has only two divisors, i.e., itself and 1.
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504 304 is an even number, because it is evenly divisible by 2: 504 304 / 2 = 252 152.
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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 504 304 is about 710.144.
Thus, the square root of 504 304 is not an integer, and therefore 504 304 is not a square number.
The square of a number (here 504 304) is the result of the product of this number (504 304) by itself (i.e., 504 304 × 504 304); the square of 504 304 is sometimes called "raising 504 304 to the power 2", or "504 304 squared".
The square of 504 304 is 254 322 524 416 because 504 304 × 504 304 = 504 3042 = 254 322 524 416.
As a consequence, 504 304 is the square root of 254 322 524 416.
The multiples of 504 304 are all integers evenly divisible by 504 304, that is all numbers such that the remainder of the division by 504 304 is zero. There are infinitely many multiples of 504 304. The smallest multiples of 504 304 are: