476256 has 72 divisors (see below), whose sum is σ = 1407672. Its totient is φ = 140800.

The previous prime is 476249. The next prime is 476279. The reversal of 476256 is 652674.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476256.

It is an unprimeable number.

476256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11596 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

476256 is a Friedman number, since it can be written as 6+762*5^4, using all its digits and the basic arithmetic operations.

2⁴⁷⁶²⁵⁶ 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 476256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703836).

476256 is an abundant number, since it is smaller than the sum of its proper divisors (931416).

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

476256 is a wasteful number, since it uses less digits than its factorization.

476256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 476256 is about 690.1130342198. The cubic root of 476256 is about 78.0932481103.

The spelling of 476256 in words is "four hundred seventy-six thousand, two hundred fifty-six".