432093920 has 48 divisors (see below), whose sum is σ = 1029898800. Its totient is φ = 171300864.

The previous prime is 432093911. The next prime is 432093967. The reversal of 432093920 is 29390234.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 6131 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (21456225).

Almost surely, 2^432093920 is an apocalyptic number.

432093920 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 432093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514949400).

432093920 is an abundant number, since it is smaller than the sum of its proper divisors (597804880).

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

432093920 is a wasteful number, since it uses less digits than its factorization.

432093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24027 (or 24019 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 432093920 is about 20786.8689320927. The cubic root of 432093920 is about 756.0074092011.

The spelling of 432093920 in words is "four hundred thirty-two million, ninety-three thousand, nine hundred twenty".