It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 624 is not a prime number.
For example, 644 624 can be divided by 2: 644 624 / 2 = 322 312.
For 644 624 to be a prime number, it would have been required that 644 624 has only two divisors, i.e., itself and 1.
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644 624 is an even number, because it is evenly divisible by 2: 644 624 / 2 = 322 312.
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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 644 624 is about 802.885.
Thus, the square root of 644 624 is not an integer, and therefore 644 624 is not a square number.
The square of a number (here 644 624) is the result of the product of this number (644 624) by itself (i.e., 644 624 × 644 624); the square of 644 624 is sometimes called "raising 644 624 to the power 2", or "644 624 squared".
The square of 644 624 is 415 540 101 376 because 644 624 × 644 624 = 644 6242 = 415 540 101 376.
As a consequence, 644 624 is the square root of 415 540 101 376.
The multiples of 644 624 are all integers evenly divisible by 644 624, that is all numbers such that the remainder of the division by 644 624 is zero. There are infinitely many multiples of 644 624. The smallest multiples of 644 624 are: