477936 has 30 divisors (see below), whose sum is σ = 1337960. Its totient is φ = 159264.

The previous prime is 477913. The next prime is 477941. The reversal of 477936 is 639774.

477936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 477936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1516 + ... + 1803.

2⁴⁷⁷⁹³⁶ is an apocalyptic number.

It is an amenable number.

477936 is an abundant number, since it is smaller than the sum of its proper divisors (860024).

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

477936 is a wasteful number, since it uses less digits than its factorization.

477936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3324 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 477936 is about 691.3291546000. The cubic root of 477936 is about 78.1849653747.

The spelling of 477936 in words is "four hundred seventy-seven thousand, nine hundred thirty-six".