432923904 has 216 divisors, whose sum is σ = 1511415360. Its totient is φ = 116342784.

The previous prime is 432923899. The next prime is 432923923. The reversal of 432923904 is 409329234.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273387 + ... + 274965.

Almost surely, 2^432923904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755707680).

432923904 is an abundant number, since it is smaller than the sum of its proper divisors (1078491456).

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

432923904 is a wasteful number, since it uses less digits than its factorization.

432923904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 432923904 is about 20806.8234961514. The cubic root of 432923904 is about 756.4911564400.

The spelling of 432923904 in words is "four hundred thirty-two million, nine hundred twenty-three thousand, nine hundred four".