It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 420 509 is not a prime number.
For example, 420 509 can be divided by 23: 420 509 / 23 = 18 283.
For 420 509 to be a prime number, it would have been required that 420 509 has only two divisors, i.e., itself and 1.
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420 509 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 420 509 is about 648.467.
Thus, the square root of 420 509 is not an integer, and therefore 420 509 is not a square number.
The square of a number (here 420 509) is the result of the product of this number (420 509) by itself (i.e., 420 509 × 420 509); the square of 420 509 is sometimes called "raising 420 509 to the power 2", or "420 509 squared".
The square of 420 509 is 176 827 819 081 because 420 509 × 420 509 = 420 5092 = 176 827 819 081.
As a consequence, 420 509 is the square root of 176 827 819 081.
The multiples of 420 509 are all integers evenly divisible by 420 509, that is all numbers such that the remainder of the division by 420 509 is zero. There are infinitely many multiples of 420 509. The smallest multiples of 420 509 are: