432923920 has 240 divisors, whose sum is σ = 1235170944. Its totient is φ = 139776000.

The previous prime is 432923899. The next prime is 432923923. The reversal of 432923920 is 29329234.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (432923923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6097485 + ... + 6097555.

Almost surely, 2^432923920 is an apocalyptic number.

432923920 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 432923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617585472).

432923920 is an abundant number, since it is smaller than the sum of its proper divisors (802247024).

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

432923920 is a wasteful number, since it uses less digits than its factorization.

432923920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 432923920 is about 20806.8238806407. The cubic root of 432923920 is about 756.4911657595.

The spelling of 432923920 in words is "four hundred thirty-two million, nine hundred twenty-three thousand, nine hundred twenty".