477320256 has 112 divisors (see below), whose sum is σ = 1603735680. Its totient is φ = 136373760.

The previous prime is 477320227. The next prime is 477320257. The reversal of 477320256 is 652023774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 477320256.

It is not an unprimeable number, because it can be changed into a prime (477320257) 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, 7635 + ... + 31826.

Almost surely, 2^477320256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801867840).

477320256 is an abundant number, since it is smaller than the sum of its proper divisors (1126415424).

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

477320256 is a wasteful number, since it uses less digits than its factorization.

477320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39489 (or 39473 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 477320256 is about 21847.6601950873. The cubic root of 477320256 is about 781.5137467603.

The spelling of 477320256 in words is "four hundred seventy-seven million, three hundred twenty thousand, two hundred fifty-six".