477900 has 90 divisors (see below), whose sum is σ = 1575420. Its totient is φ = 125280.

The previous prime is 477899. The next prime is 477913. The reversal of 477900 is 9774.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8071 + ... + 8129.

2⁴⁷⁷⁹⁰⁰ 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 477900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787710).

477900 is an abundant number, since it is smaller than the sum of its proper divisors (1097520).

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

477900 is a wasteful number, since it uses less digits than its factorization.

477900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 477900 is about 691.3031173082. The cubic root of 477900 is about 78.1830022601.

The spelling of 477900 in words is "four hundred seventy-seven thousand, nine hundred".