It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 208 is not a prime number.
For example, 488 208 can be divided by 2: 488 208 / 2 = 244 104.
For 488 208 to be a prime number, it would have been required that 488 208 has only two divisors, i.e., itself and 1.
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488 208 is an even number, because it is evenly divisible by 2: 488 208 / 2 = 244 104.
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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 488 208 is about 698.719.
Thus, the square root of 488 208 is not an integer, and therefore 488 208 is not a square number.
The square of a number (here 488 208) is the result of the product of this number (488 208) by itself (i.e., 488 208 × 488 208); the square of 488 208 is sometimes called "raising 488 208 to the power 2", or "488 208 squared".
The square of 488 208 is 238 347 051 264 because 488 208 × 488 208 = 488 2082 = 238 347 051 264.
As a consequence, 488 208 is the square root of 238 347 051 264.
The multiples of 488 208 are all integers evenly divisible by 488 208, that is all numbers such that the remainder of the division by 488 208 is zero. There are infinitely many multiples of 488 208. The smallest multiples of 488 208 are: