476894880 has 864 divisors, whose sum is σ = 2258710272. Its totient is φ = 89210880.

The previous prime is 476894867. The next prime is 476894893. The reversal of 476894880 is 88498674.

476894880 is a `hidden beast` number, since 476 + 8 + 94 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (476894867) and next prime (476894893).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734549 + ... + 20734571.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^476894880 is an apocalyptic number.

476894880 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 476894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

476894880 is an abundant number, since it is smaller than the sum of its proper divisors (1781815392).

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

476894880 is a wasteful number, since it uses less digits than its factorization.

476894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 476894880 is about 21837.9229781589. The cubic root of 476894880 is about 781.2815225254.

It can be divided in two parts, 476894 and 880, that added together give a palindrome (477774).

The spelling of 476894880 in words is "four hundred seventy-six million, eight hundred ninety-four thousand, eight hundred eighty".