It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 307 is not a prime number.
For example, 488 307 can be divided by 3: 488 307 / 3 = 162 769.
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For 488 307 to be a prime number, it would have been required that 488 307 has only two divisors, i.e., itself and 1.
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488 307 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 488 307 is about 698.790.
Thus, the square root of 488 307 is not an integer, and therefore 488 307 is not a square number.
The square of a number (here 488 307) is the result of the product of this number (488 307) by itself (i.e., 488 307 × 488 307); the square of 488 307 is sometimes called "raising 488 307 to the power 2", or "488 307 squared".
The square of 488 307 is 238 443 726 249 because 488 307 × 488 307 = 488 3072 = 238 443 726 249.
As a consequence, 488 307 is the square root of 238 443 726 249.
The multiples of 488 307 are all integers evenly divisible by 488 307, that is all numbers such that the remainder of the division by 488 307 is zero. There are infinitely many multiples of 488 307. The smallest multiples of 488 307 are: