476980331520 has 1056 divisors, whose sum is σ = 2050488743040. Its totient is φ = 93255106560.

The previous prime is 476980331453. The next prime is 476980331549. The reversal of 476980331520 is 25133089674.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 476980331520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140741986 + ... + 140745374.

It is a 1-persistent number, because it is pandigital, but 2⋅476980331520 = 953960663040 is not.

Almost surely, 2^476980331520 is an apocalyptic number.

476980331520 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 476980331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025244371520).

476980331520 is an abundant number, since it is smaller than the sum of its proper divisors (1573508411520).

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

476980331520 is a wasteful number, since it uses less digits than its factorization.

476980331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 476980331520 in words is "four hundred seventy-six billion, nine hundred eighty million, three hundred thirty-one thousand, five hundred twenty".