476706816 has 192 divisors, whose sum is σ = 1456509600. Its totient is φ = 153944064.

The previous prime is 476706803. The next prime is 476706817. The reversal of 476706816 is 618607674.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476706817) 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, 2045836 + ... + 2046068.

Almost surely, 2^476706816 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 476706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728254800).

476706816 is an abundant number, since it is smaller than the sum of its proper divisors (979802784).

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

476706816 is a wasteful number, since it uses less digits than its factorization.

476706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 476706816 is about 21833.6166495613. The cubic root of 476706816 is about 781.1788092911.

The spelling of 476706816 in words is "four hundred seventy-six million, seven hundred six thousand, eight hundred sixteen".