477852 has 12 divisors (see below), whose sum is σ = 1115016. Its totient is φ = 159280.

The previous prime is 477847. The next prime is 477857. The reversal of 477852 is 258774.

477852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (477847) and next prime (477857).

It is a tau number, because it is divible by the number of its divisors (12).

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 477852.

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, 19899 + ... + 19922.

It is an arithmetic number, because the mean of its divisors is an integer number (92918).

2⁴⁷⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

477852 is an abundant number, since it is smaller than the sum of its proper divisors (637164).

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

477852 is a wasteful number, since it uses less digits than its factorization.

477852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39828 (or 39826 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 477852 is about 691.2683993935. The cubic root of 477852 is about 78.1803846206.

The spelling of 477852 in words is "four hundred seventy-seven thousand, eight hundred fifty-two".