432374976 has 336 divisors, whose sum is σ = 1483278720. Its totient is φ = 122411520.

The previous prime is 432374939. The next prime is 432374983. The reversal of 432374976 is 679473234.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10055211 + ... + 10055253.

It is an arithmetic number, because the mean of its divisors is an integer number (4414520).

Almost surely, 2^432374976 is an apocalyptic number.

432374976 is a gapful number since it is divisible by the number (46) 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 432374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741639360).

432374976 is an abundant number, since it is smaller than the sum of its proper divisors (1050903744).

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

432374976 is a wasteful number, since it uses less digits than its factorization.

432374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 432374976 is about 20793.6282548284. The cubic root of 432374976 is about 756.1712889780.

The spelling of 432374976 in words is "four hundred thirty-two million, three hundred seventy-four thousand, nine hundred seventy-six".