477163680 has 384 divisors, whose sum is σ = 1828915200. Its totient is φ = 102273024.

The previous prime is 477163679. The next prime is 477163691. The reversal of 477163680 is 86361774.

It is a super-2 number, since 2×477163680² = 455370355022284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5748919 + ... + 5749001.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^477163680 is an apocalyptic number.

477163680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

477163680 is an abundant number, since it is smaller than the sum of its proper divisors (1351751520).

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

477163680 is a wasteful number, since it uses less digits than its factorization.

477163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 477163680 is about 21844.0765426236. The cubic root of 477163680 is about 781.4282837493.

The spelling of 477163680 in words is "four hundred seventy-seven million, one hundred sixty-three thousand, six hundred eighty".