476856 has 48 divisors (see below), whose sum is σ = 1333800. Its totient is φ = 153792.

The previous prime is 476851. The next prime is 476863. The reversal of 476856 is 658674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 476856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2575 + ... + 2753.

2⁴⁷⁶⁸⁵⁶ 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 476856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666900).

476856 is an abundant number, since it is smaller than the sum of its proper divisors (856944).

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

476856 is a wasteful number, since it uses less digits than its factorization.

476856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 476856 is about 690.5476087860. The cubic root of 476856 is about 78.1260289998.

It can be divided in two parts, 47 and 6856, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 476856 in words is "four hundred seventy-six thousand, eight hundred fifty-six".