432904320 has 192 divisors, whose sum is σ = 1583164440. Its totient is φ = 108625920.

The previous prime is 432904319. The next prime is 432904333. The reversal of 432904320 is 23409234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 425019456 + 7884864 = 20616^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95710 + ... + 100130.

Almost surely, 2^432904320 is an apocalyptic number.

432904320 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 432904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791582220).

432904320 is an abundant number, since it is smaller than the sum of its proper divisors (1150260120).

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

432904320 is a wasteful number, since it uses less digits than its factorization.

432904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 432904320 is about 20806.3528759848. The cubic root of 432904320 is about 756.4797492419.

The spelling of 432904320 in words is "four hundred thirty-two million, nine hundred four thousand, three hundred twenty".