It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 462 457 is not a prime number.
For example, 462 457 can be divided by 311: 462 457 / 311 = 1 487.
For 462 457 to be a prime number, it would have been required that 462 457 has only two divisors, i.e., itself and 1.
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462 457 is an odd number, because it is not evenly divisible by 2.
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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 462 457 is about 680.042.
Thus, the square root of 462 457 is not an integer, and therefore 462 457 is not a square number.
The square of a number (here 462 457) is the result of the product of this number (462 457) by itself (i.e., 462 457 × 462 457); the square of 462 457 is sometimes called "raising 462 457 to the power 2", or "462 457 squared".
The square of 462 457 is 213 866 476 849 because 462 457 × 462 457 = 462 4572 = 213 866 476 849.
As a consequence, 462 457 is the square root of 213 866 476 849.
The multiples of 462 457 are all integers evenly divisible by 462 457, that is all numbers such that the remainder of the division by 462 457 is zero. There are infinitely many multiples of 462 457. The smallest multiples of 462 457 are: