475832 has 32 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 196224.

The previous prime is 475831. The next prime is 475837. The reversal of 475832 is 238574.

It is a happy number.

475832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 475795 and 475804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁴⁷⁵⁸³² 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 475832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

475832 is an abundant number, since it is smaller than the sum of its proper divisors (582568).

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

475832 is a wasteful number, since it uses less digits than its factorization.

475832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 475832 is about 689.8057697642. The cubic root of 475832 is about 78.0700663424.

The spelling of 475832 in words is "four hundred seventy-five thousand, eight hundred thirty-two".