476112000 has 512 divisors, whose sum is σ = 1960358400. Its totient is φ = 99532800.

The previous prime is 476111989. The next prime is 476112001. The reversal of 476112000 is 211674.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (476112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367946 + ... + 4368054.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^476112000 is an apocalyptic number.

476112000 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 476112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980179200).

476112000 is an abundant number, since it is smaller than the sum of its proper divisors (1484246400).

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

476112000 is a wasteful number, since it uses less digits than its factorization.

476112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 476112000 is about 21819.9908340952. The cubic root of 476112000 is about 780.8537660055.

Adding to 476112000 its reverse (211674), we get a palindrome (476323674).

It can be divided in two parts, 4761 and 12000, that added together give a palindrome (16761).

The spelling of 476112000 in words is "four hundred seventy-six million, one hundred twelve thousand".