It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 424 338 is not a prime number.
For example, 424 338 can be divided by 2: 424 338 / 2 = 212 169.
For 424 338 to be a prime number, it would have been required that 424 338 has only two divisors, i.e., itself and 1.
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424 338 is an even number, because it is evenly divisible by 2: 424 338 / 2 = 212 169.
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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 424 338 is about 651.412.
Thus, the square root of 424 338 is not an integer, and therefore 424 338 is not a square number.
The square of a number (here 424 338) is the result of the product of this number (424 338) by itself (i.e., 424 338 × 424 338); the square of 424 338 is sometimes called "raising 424 338 to the power 2", or "424 338 squared".
The square of 424 338 is 180 062 738 244 because 424 338 × 424 338 = 424 3382 = 180 062 738 244.
As a consequence, 424 338 is the square root of 180 062 738 244.
The multiples of 424 338 are all integers evenly divisible by 424 338, that is all numbers such that the remainder of the division by 424 338 is zero. There are infinitely many multiples of 424 338. The smallest multiples of 424 338 are: