It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 507 is not a prime number.
For example, 488 507 can be divided by 241: 488 507 / 241 = 2 027.
For 488 507 to be a prime number, it would have been required that 488 507 has only two divisors, i.e., itself and 1.
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488 507 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 488 507 is about 698.933.
Thus, the square root of 488 507 is not an integer, and therefore 488 507 is not a square number.
The square of a number (here 488 507) is the result of the product of this number (488 507) by itself (i.e., 488 507 × 488 507); the square of 488 507 is sometimes called "raising 488 507 to the power 2", or "488 507 squared".
The square of 488 507 is 238 639 089 049 because 488 507 × 488 507 = 488 5072 = 238 639 089 049.
As a consequence, 488 507 is the square root of 238 639 089 049.
The multiples of 488 507 are all integers evenly divisible by 488 507, that is all numbers such that the remainder of the division by 488 507 is zero. There are infinitely many multiples of 488 507. The smallest multiples of 488 507 are: