476168 has 32 divisors (see below), whose sum is σ = 1114560. Its totient is φ = 185280.

The previous prime is 476167. The next prime is 476183. The reversal of 476168 is 861674.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476168.

It is not an unprimeable number, because it can be changed into a prime (476167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (34830).

2⁴⁷⁶¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557280).

476168 is an abundant number, since it is smaller than the sum of its proper divisors (638392).

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

476168 is a wasteful number, since it uses less digits than its factorization.

476168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 476168 is about 690.0492736030. The cubic root of 476168 is about 78.0884379318.

The spelling of 476168 in words is "four hundred seventy-six thousand, one hundred sixty-eight".