It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 498 431 is not a prime number.
For example, 498 431 can be divided by 61: 498 431 / 61 = 8 171.
For 498 431 to be a prime number, it would have been required that 498 431 has only two divisors, i.e., itself and 1.
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498 431 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 498 431 is about 705.996.
Thus, the square root of 498 431 is not an integer, and therefore 498 431 is not a square number.
The square of a number (here 498 431) is the result of the product of this number (498 431) by itself (i.e., 498 431 × 498 431); the square of 498 431 is sometimes called "raising 498 431 to the power 2", or "498 431 squared".
The square of 498 431 is 248 433 461 761 because 498 431 × 498 431 = 498 4312 = 248 433 461 761.
As a consequence, 498 431 is the square root of 248 433 461 761.
The multiples of 498 431 are all integers evenly divisible by 498 431, that is all numbers such that the remainder of the division by 498 431 is zero. There are infinitely many multiples of 498 431. The smallest multiples of 498 431 are: