432808896 has 112 divisors (see below), whose sum is σ = 1254556800. Its totient is φ = 130870272.

The previous prime is 432808891. The next prime is 432808913. The reversal of 432808896 is 698808234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432808891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145795 + ... + 148733.

It is an arithmetic number, because the mean of its divisors is an integer number (11201400).

Almost surely, 2^432808896 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 432808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627278400).

432808896 is an abundant number, since it is smaller than the sum of its proper divisors (821747904).

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

432808896 is a wasteful number, since it uses less digits than its factorization.

432808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 432808896 is about 20804.0596038369. The cubic root of 432808896 is about 756.4241621874.

The spelling of 432808896 in words is "four hundred thirty-two million, eight hundred eight thousand, eight hundred ninety-six".