476964180 has 192 divisors, whose sum is σ = 1850204160. Its totient is φ = 99100800.

The previous prime is 476964167. The next prime is 476964227. The reversal of 476964180 is 81469674.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35845 + ... + 47315.

It is an arithmetic number, because the mean of its divisors is an integer number (9636480).

Almost surely, 2^476964180 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 476964180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925102080).

476964180 is an abundant number, since it is smaller than the sum of its proper divisors (1373239980).

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

476964180 is a wasteful number, since it uses less digits than its factorization.

476964180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 476964180 is about 21839.5096098791. The cubic root of 476964180 is about 781.3193646785.

The spelling of 476964180 in words is "four hundred seventy-six million, nine hundred sixty-four thousand, one hundred eighty".