It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 523 464 is not a prime number.
For example, 523 464 can be divided by 2: 523 464 / 2 = 261 732.
For 523 464 to be a prime number, it would have been required that 523 464 has only two divisors, i.e., itself and 1.
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523 464 is an even number, because it is evenly divisible by 2: 523 464 / 2 = 261 732.
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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 523 464 is about 723.508.
Thus, the square root of 523 464 is not an integer, and therefore 523 464 is not a square number.
The square of a number (here 523 464) is the result of the product of this number (523 464) by itself (i.e., 523 464 × 523 464); the square of 523 464 is sometimes called "raising 523 464 to the power 2", or "523 464 squared".
The square of 523 464 is 274 014 559 296 because 523 464 × 523 464 = 523 4642 = 274 014 559 296.
As a consequence, 523 464 is the square root of 274 014 559 296.
The multiples of 523 464 are all integers evenly divisible by 523 464, that is all numbers such that the remainder of the division by 523 464 is zero. There are infinitely many multiples of 523 464. The smallest multiples of 523 464 are: