470032 has 20 divisors (see below), whose sum is σ = 943020. Its totient is φ = 226688.

The previous prime is 470021. The next prime is 470039. The reversal of 470032 is 230074.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 389376 = 284^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 469988 and 470015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470032.

It is not an unprimeable number, because it can be changed into a prime (470039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2⁴⁷⁰⁰³² is an apocalyptic number.

It is an amenable number.

470032 is an abundant number, since it is smaller than the sum of its proper divisors (472988).

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

470032 is a wasteful number, since it uses less digits than its factorization.

470032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 470032 is about 685.5887980415. The cubic root of 470032 is about 77.7515654679.

The spelling of 470032 in words is "four hundred seventy thousand, thirty-two".