432079920 has 200 divisors, whose sum is σ = 1515103920. Its totient is φ = 114117120.

The previous prime is 432079877. The next prime is 432079933. The reversal of 432079920 is 29970234.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 848626 + ... + 849134.

Almost surely, 2^432079920 is an apocalyptic number.

432079920 is a gapful number since it is divisible by the number (40) 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 432079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757551960).

432079920 is an abundant number, since it is smaller than the sum of its proper divisors (1083024000).

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

432079920 is a wasteful number, since it uses less digits than its factorization.

432079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 432079920 is about 20786.5321783120. The cubic root of 432079920 is about 755.9992441413. Note that the first 3 decimals are identical.

The spelling of 432079920 in words is "four hundred thirty-two million, seventy-nine thousand, nine hundred twenty".