477580320 has 384 divisors, whose sum is σ = 2024870400. Its totient is φ = 102629376.

The previous prime is 477580309. The next prime is 477580321. The reversal of 477580320 is 23085774.

477580320 is a `hidden beast` number, since 4 + 77 + 580 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (477580321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513616 + ... + 514544.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^477580320 is an apocalyptic number.

477580320 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 477580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

477580320 is an abundant number, since it is smaller than the sum of its proper divisors (1547290080).

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

477580320 is a wasteful number, since it uses less digits than its factorization.

477580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 477580320 is about 21853.6111432413. The cubic root of 477580320 is about 781.6556547615.

The spelling of 477580320 in words is "four hundred seventy-seven million, five hundred eighty thousand, three hundred twenty".