It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 497 464 is not a prime number.
For example, 497 464 can be divided by 2: 497 464 / 2 = 248 732.
For 497 464 to be a prime number, it would have been required that 497 464 has only two divisors, i.e., itself and 1.
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497 464 is an even number, because it is evenly divisible by 2: 497 464 / 2 = 248 732.
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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 497 464 is about 705.311.
Thus, the square root of 497 464 is not an integer, and therefore 497 464 is not a square number.
The square of a number (here 497 464) is the result of the product of this number (497 464) by itself (i.e., 497 464 × 497 464); the square of 497 464 is sometimes called "raising 497 464 to the power 2", or "497 464 squared".
The square of 497 464 is 247 470 431 296 because 497 464 × 497 464 = 497 4642 = 247 470 431 296.
As a consequence, 497 464 is the square root of 247 470 431 296.
The multiples of 497 464 are all integers evenly divisible by 497 464, that is all numbers such that the remainder of the division by 497 464 is zero. There are infinitely many multiples of 497 464. The smallest multiples of 497 464 are: