It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 508 is not a prime number.
For example, 644 508 can be divided by 2: 644 508 / 2 = 322 254.
For 644 508 to be a prime number, it would have been required that 644 508 has only two divisors, i.e., itself and 1.
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644 508 is an even number, because it is evenly divisible by 2: 644 508 / 2 = 322 254.
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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 644 508 is about 802.813.
Thus, the square root of 644 508 is not an integer, and therefore 644 508 is not a square number.
The square of a number (here 644 508) is the result of the product of this number (644 508) by itself (i.e., 644 508 × 644 508); the square of 644 508 is sometimes called "raising 644 508 to the power 2", or "644 508 squared".
The square of 644 508 is 415 390 562 064 because 644 508 × 644 508 = 644 5082 = 415 390 562 064.
As a consequence, 644 508 is the square root of 415 390 562 064.
The multiples of 644 508 are all integers evenly divisible by 644 508, that is all numbers such that the remainder of the division by 644 508 is zero. There are infinitely many multiples of 644 508. The smallest multiples of 644 508 are: