470576064 has 112 divisors (see below), whose sum is σ = 1461544448. Its totient is φ = 130802688.

The previous prime is 470576033. The next prime is 470576077. The reversal of 470576064 is 460675074.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44997 + ... + 54459.

It is an arithmetic number, because the mean of its divisors is an integer number (13049504).

Almost surely, 2^470576064 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 470576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730772224).

470576064 is an abundant number, since it is smaller than the sum of its proper divisors (990968384).

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

470576064 is a wasteful number, since it uses less digits than its factorization.

470576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 470576064 is about 21692.7652455836. The cubic root of 470576064 is about 777.8155315430.

The spelling of 470576064 in words is "four hundred seventy million, five hundred seventy-six thousand, sixty-four".