432089856 has 144 divisors (see below), whose sum is σ = 1394171520. Its totient is φ = 130913280.

The previous prime is 432089851. The next prime is 432089881. The reversal of 432089856 is 658980234.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (432089851) 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, 73191 + ... + 78873.

Almost surely, 2^432089856 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 432089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697085760).

432089856 is an abundant number, since it is smaller than the sum of its proper divisors (962081664).

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

432089856 is a wasteful number, since it uses less digits than its factorization.

432089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 432089856 is about 20786.7711778429. The cubic root of 432089856 is about 756.0050390191.

The spelling of 432089856 in words is "four hundred thirty-two million, eighty-nine thousand, eight hundred fifty-six".