477880 has 32 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 176256.

The previous prime is 477863. The next prime is 477881. The reversal of 477880 is 88774.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁴⁷⁷⁸⁸⁰ is an apocalyptic number.

477880 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 477880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

477880 is an abundant number, since it is smaller than the sum of its proper divisors (681320).

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

477880 is a wasteful number, since it uses less digits than its factorization.

477880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 477880 is about 691.2886517223. The cubic root of 477880 is about 78.1819115983.

The spelling of 477880 in words is "four hundred seventy-seven thousand, eight hundred eighty".