It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 629 is not a prime number.
For example, 488 629 can be divided by 443: 488 629 / 443 = 1 103.
For 488 629 to be a prime number, it would have been required that 488 629 has only two divisors, i.e., itself and 1.
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488 629 is an odd number, because it is not evenly divisible by 2.
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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 488 629 is about 699.020.
Thus, the square root of 488 629 is not an integer, and therefore 488 629 is not a square number.
The square of a number (here 488 629) is the result of the product of this number (488 629) by itself (i.e., 488 629 × 488 629); the square of 488 629 is sometimes called "raising 488 629 to the power 2", or "488 629 squared".
The square of 488 629 is 238 758 299 641 because 488 629 × 488 629 = 488 6292 = 238 758 299 641.
As a consequence, 488 629 is the square root of 238 758 299 641.
The multiples of 488 629 are all integers evenly divisible by 488 629, that is all numbers such that the remainder of the division by 488 629 is zero. There are infinitely many multiples of 488 629. The smallest multiples of 488 629 are: