It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 463 427 is not a prime number.
For example, 463 427 can be divided by 23: 463 427 / 23 = 20 149.
For 463 427 to be a prime number, it would have been required that 463 427 has only two divisors, i.e., itself and 1.
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463 427 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 463 427 is about 680.755.
Thus, the square root of 463 427 is not an integer, and therefore 463 427 is not a square number.
The square of a number (here 463 427) is the result of the product of this number (463 427) by itself (i.e., 463 427 × 463 427); the square of 463 427 is sometimes called "raising 463 427 to the power 2", or "463 427 squared".
The square of 463 427 is 214 764 584 329 because 463 427 × 463 427 = 463 4272 = 214 764 584 329.
As a consequence, 463 427 is the square root of 214 764 584 329.
The multiples of 463 427 are all integers evenly divisible by 463 427, that is all numbers such that the remainder of the division by 463 427 is zero. There are infinitely many multiples of 463 427. The smallest multiples of 463 427 are: