477920 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 182784.

The previous prime is 477913. The next prime is 477941. The reversal of 477920 is 29774.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

477920 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 7 ways as a sum of consecutive naturals, for example, 4589 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁴⁷⁷⁹²⁰ is an apocalyptic number.

477920 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 477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

477920 is an abundant number, since it is smaller than the sum of its proper divisors (701440).

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

477920 is a wasteful number, since it uses less digits than its factorization.

477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 477920 is about 691.3175825914. The cubic root of 477920 is about 78.1840928915.

The spelling of 477920 in words is "four hundred seventy-seven thousand, nine hundred twenty".