476738766 has 144 divisors (see below), whose sum is σ = 1278111744. Its totient is φ = 125730144.

The previous prime is 476738711. The next prime is 476738783. The reversal of 476738766 is 667837674.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2137731 + ... + 2137953.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^476738766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476738766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

476738766 is an abundant number, since it is smaller than the sum of its proper divisors (801372978).

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

476738766 is a wasteful number, since it uses less digits than its factorization.

476738766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 476738766 is about 21834.3483071971. The cubic root of 476738766 is about 781.1962610417.

The spelling of 476738766 in words is "four hundred seventy-six million, seven hundred thirty-eight thousand, seven hundred sixty-six".