477908320 has 96 divisors (see below), whose sum is σ = 1159250400. Its totient is φ = 186126336.

The previous prime is 477908293. The next prime is 477908363. The reversal of 477908320 is 23809774.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168276 + ... + 1168684.

It is an arithmetic number, because the mean of its divisors is an integer number (12075525).

Almost surely, 2^477908320 is an apocalyptic number.

477908320 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 477908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579625200).

477908320 is an abundant number, since it is smaller than the sum of its proper divisors (681342080).

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

477908320 is a wasteful number, since it uses less digits than its factorization.

477908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 477908320 is about 21861.1143357332. The cubic root of 477908320 is about 781.8345596648.

The spelling of 477908320 in words is "four hundred seventy-seven million, nine hundred eight thousand, three hundred twenty".