470680640 has 56 divisors (see below), whose sum is σ = 1136218200. Its totient is φ = 185683968.

The previous prime is 470680631. The next prime is 470680687. The reversal of 470680640 is 46086074.

It can be written as a sum of positive squares in 4 ways, for example, as 50922496 + 419758144 = 7136^2 + 20488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 470680640.

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, 13286 + ... + 33434.

Almost surely, 2^470680640 is an apocalyptic number.

470680640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568109100).

470680640 is an abundant number, since it is smaller than the sum of its proper divisors (665537560).

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

470680640 is a wasteful number, since it uses less digits than its factorization.

470680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20239 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 470680640 is about 21695.1755005577. The cubic root of 470680640 is about 777.8731451919.

The spelling of 470680640 in words is "four hundred seventy million, six hundred eighty thousand, six hundred forty".