476981084160 has 1260 divisors, whose sum is σ = 2008754197128. Its totient is φ = 108355387392.

The previous prime is 476981084159. The next prime is 476981084171. The reversal of 476981084160 is 61480189674.

476981084160 is a `hidden beast` number, since 476 + 9 + 8 + 1 + 0 + 8 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 476981084097 and 476981084106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2926264239 + ... + 2926264401.

Almost surely, 2^476981084160 is an apocalyptic number.

476981084160 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 476981084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004377098564).

476981084160 is an abundant number, since it is smaller than the sum of its proper divisors (1531773112968).

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

476981084160 is an frugal number, since it uses more digits than its factorization.

476981084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 476981084160 in words is "four hundred seventy-six billion, nine hundred eighty-one million, eighty-four thousand, one hundred sixty".