It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 462 is not a prime number.
For example, 488 462 can be divided by 2: 488 462 / 2 = 244 231.
For 488 462 to be a prime number, it would have been required that 488 462 has only two divisors, i.e., itself and 1.
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488 462 is an even number, because it is evenly divisible by 2: 488 462 / 2 = 244 231.
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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 488 462 is about 698.901.
Thus, the square root of 488 462 is not an integer, and therefore 488 462 is not a square number.
The square of a number (here 488 462) is the result of the product of this number (488 462) by itself (i.e., 488 462 × 488 462); the square of 488 462 is sometimes called "raising 488 462 to the power 2", or "488 462 squared".
The square of 488 462 is 238 595 125 444 because 488 462 × 488 462 = 488 4622 = 238 595 125 444.
As a consequence, 488 462 is the square root of 238 595 125 444.
The multiples of 488 462 are all integers evenly divisible by 488 462, that is all numbers such that the remainder of the division by 488 462 is zero. There are infinitely many multiples of 488 462. The smallest multiples of 488 462 are: