477688 has 24 divisors (see below), whose sum is σ = 940680. Its totient is φ = 227360.

The previous prime is 477677. The next prime is 477721. The reversal of 477688 is 886774.

477688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 477688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6693 + ... + 6763.

It is an arithmetic number, because the mean of its divisors is an integer number (39195).

2⁴⁷⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

477688 is a deficient number, since it is larger than the sum of its proper divisors (462992).

477688 is a wasteful number, since it uses less digits than its factorization.

477688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 477688 is about 691.1497666932. The cubic root of 477688 is about 78.1714396961.

The spelling of 477688 in words is "four hundred seventy-seven thousand, six hundred eighty-eight".