It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 464 is not a prime number.
For example, 397 464 can be divided by 2: 397 464 / 2 = 198 732.
For 397 464 to be a prime number, it would have been required that 397 464 has only two divisors, i.e., itself and 1.
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397 464 is an even number, because it is evenly divisible by 2: 397 464 / 2 = 198 732.
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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 397 464 is about 630.447.
Thus, the square root of 397 464 is not an integer, and therefore 397 464 is not a square number.
The square of a number (here 397 464) is the result of the product of this number (397 464) by itself (i.e., 397 464 × 397 464); the square of 397 464 is sometimes called "raising 397 464 to the power 2", or "397 464 squared".
The square of 397 464 is 157 977 631 296 because 397 464 × 397 464 = 397 4642 = 157 977 631 296.
As a consequence, 397 464 is the square root of 157 977 631 296.
The multiples of 397 464 are all integers evenly divisible by 397 464, that is all numbers such that the remainder of the division by 397 464 is zero. There are infinitely many multiples of 397 464. The smallest multiples of 397 464 are: