It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 465 464 is not a prime number.
For example, 465 464 can be divided by 2: 465 464 / 2 = 232 732.
For 465 464 to be a prime number, it would have been required that 465 464 has only two divisors, i.e., itself and 1.
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465 464 is an even number, because it is evenly divisible by 2: 465 464 / 2 = 232 732.
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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 465 464 is about 682.249.
Thus, the square root of 465 464 is not an integer, and therefore 465 464 is not a square number.
The square of a number (here 465 464) is the result of the product of this number (465 464) by itself (i.e., 465 464 × 465 464); the square of 465 464 is sometimes called "raising 465 464 to the power 2", or "465 464 squared".
The square of 465 464 is 216 656 735 296 because 465 464 × 465 464 = 465 4642 = 216 656 735 296.
As a consequence, 465 464 is the square root of 216 656 735 296.
The multiples of 465 464 are all integers evenly divisible by 465 464, that is all numbers such that the remainder of the division by 465 464 is zero. There are infinitely many multiples of 465 464. The smallest multiples of 465 464 are: