476112 has 80 divisors (see below), whose sum is σ = 1527680. Its totient is φ = 124416.

The previous prime is 476111. The next prime is 476137. The reversal of 476112 is 211674.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 4422.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2⁴⁷⁶¹¹² is an apocalyptic number.

476112 is a gapful number since it is divisible by the number (42) 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 476112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763840).

476112 is an abundant number, since it is smaller than the sum of its proper divisors (1051568).

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

476112 is a wasteful number, since it uses less digits than its factorization.

476112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

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

The square root of 476112 is about 690.0086955974. The cubic root of 476112 is about 78.0853766006.

Adding to 476112 its reverse (211674), we get a palindrome (687786).

The spelling of 476112 in words is "four hundred seventy-six thousand, one hundred twelve".