477408320 has 112 divisors (see below), whose sum is σ = 1169261568. Its totient is φ = 185610240.

The previous prime is 477408319. The next prime is 477408341. The reversal of 477408320 is 23804774.

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, 2499425 + ... + 2499615.

Almost surely, 2^477408320 is an apocalyptic number.

477408320 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 477408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584630784).

477408320 is an abundant number, since it is smaller than the sum of its proper divisors (691853248).

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

477408320 is a wasteful number, since it uses less digits than its factorization.

477408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 477408320 is about 21849.6755124647. The cubic root of 477408320 is about 781.5618060340.

The spelling of 477408320 in words is "four hundred seventy-seven million, four hundred eight thousand, three hundred twenty".