478656 has 56 divisors (see below), whose sum is σ = 1412240. Its totient is φ = 158976.

The previous prime is 478651. The next prime is 478679. The reversal of 478656 is 656874.

It is a happy number.

It is a super-2 number, since 2×478656² = 458223132672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 478656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478651) 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, 1590 + ... + 1866.

2⁴⁷⁸⁶⁵⁶ 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 478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706120).

478656 is an abundant number, since it is smaller than the sum of its proper divisors (933584).

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

478656 is a wasteful number, since it uses less digits than its factorization.

478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

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

The square root of 478656 is about 691.8496946592. The cubic root of 478656 is about 78.2242069821.

The spelling of 478656 in words is "four hundred seventy-eight thousand, six hundred fifty-six".