It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 272 is not a prime number.
For example, 644 272 can be divided by 2: 644 272 / 2 = 322 136.
For 644 272 to be a prime number, it would have been required that 644 272 has only two divisors, i.e., itself and 1.
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644 272 is an even number, because it is evenly divisible by 2: 644 272 / 2 = 322 136.
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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 644 272 is about 802.666.
Thus, the square root of 644 272 is not an integer, and therefore 644 272 is not a square number.
The square of a number (here 644 272) is the result of the product of this number (644 272) by itself (i.e., 644 272 × 644 272); the square of 644 272 is sometimes called "raising 644 272 to the power 2", or "644 272 squared".
The square of 644 272 is 415 086 409 984 because 644 272 × 644 272 = 644 2722 = 415 086 409 984.
As a consequence, 644 272 is the square root of 415 086 409 984.
The multiples of 644 272 are all integers evenly divisible by 644 272, that is all numbers such that the remainder of the division by 644 272 is zero. There are infinitely many multiples of 644 272. The smallest multiples of 644 272 are: