It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 688 is not a prime number.
For example, 488 688 can be divided by 2: 488 688 / 2 = 244 344.
For 488 688 to be a prime number, it would have been required that 488 688 has only two divisors, i.e., itself and 1.
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488 688 is an even number, because it is evenly divisible by 2: 488 688 / 2 = 244 344.
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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 488 688 is about 699.062.
Thus, the square root of 488 688 is not an integer, and therefore 488 688 is not a square number.
The square of a number (here 488 688) is the result of the product of this number (488 688) by itself (i.e., 488 688 × 488 688); the square of 488 688 is sometimes called "raising 488 688 to the power 2", or "488 688 squared".
The square of 488 688 is 238 815 961 344 because 488 688 × 488 688 = 488 6882 = 238 815 961 344.
As a consequence, 488 688 is the square root of 238 815 961 344.
The multiples of 488 688 are all integers evenly divisible by 488 688, that is all numbers such that the remainder of the division by 488 688 is zero. There are infinitely many multiples of 488 688. The smallest multiples of 488 688 are: