470558880 has 288 divisors, whose sum is σ = 1784135808. Its totient is φ = 111974400.

The previous prime is 470558873. The next prime is 470558903. The reversal of 470558880 is 88855074.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965997 + ... + 966483.

It is an arithmetic number, because the mean of its divisors is an integer number (6194916).

Almost surely, 2^470558880 is an apocalyptic number.

470558880 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 470558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892067904).

470558880 is an abundant number, since it is smaller than the sum of its proper divisors (1313576928).

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

470558880 is a wasteful number, since it uses less digits than its factorization.

470558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 470558880 is about 21692.3691652157. The cubic root of 470558880 is about 777.8060636123.

The spelling of 470558880 in words is "four hundred seventy million, five hundred fifty-eight thousand, eight hundred eighty".