477856 has 24 divisors (see below), whose sum is σ = 956340. Its totient is φ = 235008.

The previous prime is 477847. The next prime is 477857. The reversal of 477856 is 658774.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 10000 = 684^2 + 100^2 .

It is a super-3 number, since 3×477856³ = 327350029933314048, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3420 + ... + 3556.

2⁴⁷⁷⁸⁵⁶ is an apocalyptic number.

477856 is the 370-th centered heptagonal number.

It is an amenable number.

477856 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

477856 is a wasteful number, since it uses less digits than its factorization.

477856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 477856 is about 691.2712926196. The cubic root of 477856 is about 78.1806027639.

The spelling of 477856 in words is "four hundred seventy-seven thousand, eight hundred fifty-six".