432328704 has 104 divisors (see below), whose sum is σ = 1165349952. Its totient is φ = 142540800.

The previous prime is 432328693. The next prime is 432328747. The reversal of 432328704 is 407823234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1855372 + ... + 1855604.

It is an arithmetic number, because the mean of its divisors is an integer number (11205288).

Almost surely, 2^432328704 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 432328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582674976).

432328704 is an abundant number, since it is smaller than the sum of its proper divisors (733021248).

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

432328704 is a wasteful number, since it uses less digits than its factorization.

432328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 432328704 is about 20792.5155765242. The cubic root of 432328704 is about 756.1443133141.

The spelling of 432328704 in words is "four hundred thirty-two million, three hundred twenty-eight thousand, seven hundred four".