476638656 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 134529024.

The previous prime is 476638651. The next prime is 476638711. The reversal of 476638656 is 656836674.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 476638599 and 476638608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476638651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1994185 + ... + 1994423.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^476638656 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 476638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

476638656 is an abundant number, since it is smaller than the sum of its proper divisors (998105664).

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

476638656 is a wasteful number, since it uses less digits than its factorization.

476638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 476638656 is about 21832.0556979868. The cubic root of 476638656 is about 781.1415762835.

The spelling of 476638656 in words is "four hundred seventy-six million, six hundred thirty-eight thousand, six hundred fifty-six".