470867904 has 336 divisors, whose sum is σ = 1607624928. Its totient is φ = 135364608.

The previous prime is 470867879. The next prime is 470867909. The reversal of 470867904 is 409768074.

It is a super-3 number, since 3×470867904³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470867904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470867909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436924 + ... + 3437060.

It is an arithmetic number, because the mean of its divisors is an integer number (4784598).

Almost surely, 2^470867904 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 470867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803812464).

470867904 is an abundant number, since it is smaller than the sum of its proper divisors (1136757024).

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

470867904 is a wasteful number, since it uses less digits than its factorization.

470867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 470867904 is about 21699.4908696034. The cubic root of 470867904 is about 777.9762924997.

The spelling of 470867904 in words is "four hundred seventy million, eight hundred sixty-seven thousand, nine hundred four".