432972288 has 240 divisors, whose sum is σ = 1477572096. Its totient is φ = 119439360.

The previous prime is 432972277. The next prime is 432972301. The reversal of 432972288 is 882279234.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999720 + ... + 1000152.

Almost surely, 2^432972288 is an apocalyptic number.

432972288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738786048).

432972288 is an abundant number, since it is smaller than the sum of its proper divisors (1044599808).

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

432972288 is a wasteful number, since it uses less digits than its factorization.

432972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 432972288 is about 20807.9861591649. The cubic root of 432972288 is about 756.5193374547.

The spelling of 432972288 in words is "four hundred thirty-two million, nine hundred seventy-two thousand, two hundred eighty-eight".