477805920 has 96 divisors (see below), whose sum is σ = 1584334080. Its totient is φ = 120706560.

The previous prime is 477805907. The next prime is 477805921. The reversal of 477805920 is 29508774.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477805921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17076 + ... + 35315.

It is an arithmetic number, because the mean of its divisors is an integer number (16503480).

Almost surely, 2^477805920 is an apocalyptic number.

477805920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477805920 is an abundant number, since it is smaller than the sum of its proper divisors (1106528160).

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

477805920 is a wasteful number, since it uses less digits than its factorization.

477805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52428 (or 52420 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 477805920 is about 21858.7721521590. The cubic root of 477805920 is about 781.7787152177.

The spelling of 477805920 in words is "four hundred seventy-seven million, eight hundred five thousand, nine hundred twenty".