477752 has 32 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 211200.

The previous prime is 477739. The next prime is 477767. The reversal of 477752 is 257774.

It is a happy number.

477752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5324 + ... + 5412.

2⁴⁷⁷⁷⁵² 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 477752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

477752 is an abundant number, since it is smaller than the sum of its proper divisors (526648).

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

477752 is a wasteful number, since it uses less digits than its factorization.

477752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 13720, while the sum is 32.

The square root of 477752 is about 691.1960648036. The cubic root of 477752 is about 78.1749306419.

The spelling of 477752 in words is "four hundred seventy-seven thousand, seven hundred fifty-two".