470838320 has 80 divisors (see below), whose sum is σ = 1140209760. Its totient is φ = 180652032.

The previous prime is 470838317. The next prime is 470838337. The reversal of 470838320 is 23838074.

It is a tau number, because it is divible by the number of its divisors (80).

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, 214991 + ... + 217169.

It is an arithmetic number, because the mean of its divisors is an integer number (14252622).

Almost surely, 2^470838320 is an apocalyptic number.

470838320 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 470838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570104880).

470838320 is an abundant number, since it is smaller than the sum of its proper divisors (669371440).

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

470838320 is a wasteful number, since it uses less digits than its factorization.

470838320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

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

The square root of 470838320 is about 21698.8091839161. The cubic root of 470838320 is about 777.9599990889.

The spelling of 470838320 in words is "four hundred seventy million, eight hundred thirty-eight thousand, three hundred twenty".