It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 426 729 is not a prime number.
For example, 426 729 can be divided by 3: 426 729 / 3 = 142 243.
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For 426 729 to be a prime number, it would have been required that 426 729 has only two divisors, i.e., itself and 1.
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426 729 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 426 729 is about 653.245.
Thus, the square root of 426 729 is not an integer, and therefore 426 729 is not a square number.
The square of a number (here 426 729) is the result of the product of this number (426 729) by itself (i.e., 426 729 × 426 729); the square of 426 729 is sometimes called "raising 426 729 to the power 2", or "426 729 squared".
The square of 426 729 is 182 097 639 441 because 426 729 × 426 729 = 426 7292 = 182 097 639 441.
As a consequence, 426 729 is the square root of 182 097 639 441.
The multiples of 426 729 are all integers evenly divisible by 426 729, that is all numbers such that the remainder of the division by 426 729 is zero. There are infinitely many multiples of 426 729. The smallest multiples of 426 729 are: