432640008 has 64 divisors (see below), whose sum is σ = 1204632000. Its totient is φ = 143870976.

The previous prime is 432640003. The next prime is 432640063. The reversal of 432640008 is 800046234.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432640003) 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, 98728 + ... + 103016.

It is an arithmetic number, because the mean of its divisors is an integer number (18822375).

Almost surely, 2^432640008 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 432640008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602316000).

432640008 is an abundant number, since it is smaller than the sum of its proper divisors (771991992).

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

432640008 is a wasteful number, since it uses less digits than its factorization.

432640008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 432640008 is about 20800.0001923077. Note that the first 3 decimals coincide. The cubic root of 432640008 is about 756.3257603404.

The spelling of 432640008 in words is "four hundred thirty-two million, six hundred forty thousand, eight".