476805120 has 384 divisors, whose sum is σ = 1783192320. Its totient is φ = 107479040.

The previous prime is 476805071. The next prime is 476805151. The reversal of 476805120 is 21508674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5744599 + ... + 5744681.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^476805120 is an apocalyptic number.

476805120 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 476805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

476805120 is an abundant number, since it is smaller than the sum of its proper divisors (1306387200).

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

476805120 is a wasteful number, since it uses less digits than its factorization.

476805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 476805120 is about 21835.8677409440. The cubic root of 476805120 is about 781.2325024774.

The spelling of 476805120 in words is "four hundred seventy-six million, eight hundred five thousand, one hundred twenty".