It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 491 431 is not a prime number.
For example, 491 431 can be divided by 503: 491 431 / 503 = 977.
For 491 431 to be a prime number, it would have been required that 491 431 has only two divisors, i.e., itself and 1.
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491 431 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 491 431 is about 701.021.
Thus, the square root of 491 431 is not an integer, and therefore 491 431 is not a square number.
The square of a number (here 491 431) is the result of the product of this number (491 431) by itself (i.e., 491 431 × 491 431); the square of 491 431 is sometimes called "raising 491 431 to the power 2", or "491 431 squared".
The square of 491 431 is 241 504 427 761 because 491 431 × 491 431 = 491 4312 = 241 504 427 761.
As a consequence, 491 431 is the square root of 241 504 427 761.
The multiples of 491 431 are all integers evenly divisible by 491 431, that is all numbers such that the remainder of the division by 491 431 is zero. There are infinitely many multiples of 491 431. The smallest multiples of 491 431 are: