470832 has 40 divisors (see below), whose sum is σ = 1290096. Its totient is φ = 147456.

The previous prime is 470831. The next prime is 470837. The reversal of 470832 is 238074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (470831) 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, 528 + ... + 1104.

2⁴⁷⁰⁸³² 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 470832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645048).

470832 is an abundant number, since it is smaller than the sum of its proper divisors (819264).

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

470832 is a wasteful number, since it uses less digits than its factorization.

470832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 470832 is about 686.1719901016. The cubic root of 470832 is about 77.7956518255.

The spelling of 470832 in words is "four hundred seventy thousand, eight hundred thirty-two".