470880 has 96 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 124416.

The previous prime is 470867. The next prime is 470881. The reversal of 470880 is 88074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470881) by changing a digit.

470880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266 + ... + 4374.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2⁴⁷⁰⁸⁸⁰ is an apocalyptic number.

470880 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 470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

470880 is an abundant number, since it is smaller than the sum of its proper divisors (1192320).

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

470880 is a wasteful number, since it uses less digits than its factorization.

470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 470880 is about 686.2069658638. The cubic root of 470880 is about 77.7982954185.

The spelling of 470880 in words is "four hundred seventy thousand, eight hundred eighty".