477328320 has 168 divisors, whose sum is σ = 1876434144. Its totient is φ = 109099008.

The previous prime is 477328309. The next prime is 477328373. The reversal of 477328320 is 23823774.

477328320 is a `hidden beast` number, since 4 + 7 + 7 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8322 + ... + 31998.

Almost surely, 2^477328320 is an apocalyptic number.

477328320 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 477328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938217072).

477328320 is an abundant number, since it is smaller than the sum of its proper divisors (1399105824).

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

477328320 is a wasteful number, since it uses less digits than its factorization.

477328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23707 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 477328320 is about 21847.8447449628. The cubic root of 477328320 is about 781.5181477827.

The spelling of 477328320 in words is "four hundred seventy-seven million, three hundred twenty-eight thousand, three hundred twenty".