477708 has 72 divisors (see below), whose sum is σ = 1430016. Its totient is φ = 121440.

The previous prime is 477677. The next prime is 477721. The reversal of 477708 is 807774.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 477708.

It is an unprimeable number.

477708 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10141 + ... + 10187.

2⁴⁷⁷⁷⁰⁸ 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 477708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715008).

477708 is an abundant number, since it is smaller than the sum of its proper divisors (952308).

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

477708 is a wasteful number, since it uses less digits than its factorization.

477708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 477708 is about 691.1642351858. The cubic root of 477708 is about 78.1725306502.

The spelling of 477708 in words is "four hundred seventy-seven thousand, seven hundred eight".