It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 424 427 is not a prime number.
For example, 424 427 can be divided by 37: 424 427 / 37 = 11 471.
For 424 427 to be a prime number, it would have been required that 424 427 has only two divisors, i.e., itself and 1.
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424 427 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 424 427 is about 651.481.
Thus, the square root of 424 427 is not an integer, and therefore 424 427 is not a square number.
The square of a number (here 424 427) is the result of the product of this number (424 427) by itself (i.e., 424 427 × 424 427); the square of 424 427 is sometimes called "raising 424 427 to the power 2", or "424 427 squared".
The square of 424 427 is 180 138 278 329 because 424 427 × 424 427 = 424 4272 = 180 138 278 329.
As a consequence, 424 427 is the square root of 180 138 278 329.
The multiples of 424 427 are all integers evenly divisible by 424 427, that is all numbers such that the remainder of the division by 424 427 is zero. There are infinitely many multiples of 424 427. The smallest multiples of 424 427 are: