476881920 has 264 divisors, whose sum is σ = 1686072960. Its totient is φ = 124600320.

The previous prime is 476881907. The next prime is 476882017. The reversal of 476881920 is 29188674.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640255 + ... + 3640385.

It is an arithmetic number, because the mean of its divisors is an integer number (6386640).

Almost surely, 2^476881920 is an apocalyptic number.

476881920 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 476881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843036480).

476881920 is an abundant number, since it is smaller than the sum of its proper divisors (1209191040).

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

476881920 is a wasteful number, since it uses less digits than its factorization.

476881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 476881920 is about 21837.6262446265. The cubic root of 476881920 is about 781.2744451444.

The spelling of 476881920 in words is "four hundred seventy-six million, eight hundred eighty-one thousand, nine hundred twenty".