324432144 has 135 divisors (see below), whose sum is σ = 970545303. Its totient is φ = 101155392.

The previous prime is 324432127. The next prime is 324432149. The reversal of 324432144 is 441234423.

It is a happy number.

The square root of 324432144 is 18012.

It is a perfect power (a square), and thus also a powerful number.

324432144 is a `hidden beast` number, since 3 + 2 + 443 + 214 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (324432149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4106697 + ... + 4106775.

Almost surely, 2^324432144 is an apocalyptic number.

324432144 is the 18012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324432144

324432144 is an abundant number, since it is smaller than the sum of its proper divisors (646113159).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324432144 is a wasteful number, since it uses less digits than its factorization.

324432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The cubic root of 324432144 is about 687.1337687559.

Multiplying 324432144 by its product of digits (9216), we get a square (2989966639104 = 1729152²).

Adding to 324432144 its reverse (441234423), we get a palindrome (765666567).

The spelling of 324432144 in words is "three hundred twenty-four million, four hundred thirty-two thousand, one hundred forty-four".