470432 has 24 divisors (see below), whose sum is σ = 945252. Its totient is φ = 230400.

The previous prime is 470429. The next prime is 470443. The reversal of 470432 is 234074.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 13456 = 676^2 + 116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1832 + ... + 2072.

2⁴⁷⁰⁴³² 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 470432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626).

470432 is an abundant number, since it is smaller than the sum of its proper divisors (474820).

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

470432 is a wasteful number, since it uses less digits than its factorization.

470432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 470432 is about 685.8804560563. The cubic root of 470432 is about 77.7736148944.

The spelling of 470432 in words is "four hundred seventy thousand, four hundred thirty-two".