470875680 has 336 divisors, whose sum is σ = 1824488064. Its totient is φ = 113840640.

The previous prime is 470875667. The next prime is 470875703. The reversal of 470875680 is 86578074.

470875680 is a `hidden beast` number, since 4 + 7 + 0 + 87 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1282857 + ... + 1283223.

It is an arithmetic number, because the mean of its divisors is an integer number (5430024).

Almost surely, 2^470875680 is an apocalyptic number.

470875680 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 470875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912244032).

470875680 is an abundant number, since it is smaller than the sum of its proper divisors (1353612384).

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

470875680 is a wasteful number, since it uses less digits than its factorization.

470875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 470875680 is about 21699.6700435744. The cubic root of 470875680 is about 777.9805750245.

The spelling of 470875680 in words is "four hundred seventy million, eight hundred seventy-five thousand, six hundred eighty".