470272 has 36 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 212480.

The previous prime is 470263. The next prime is 470279. The reversal of 470272 is 272074.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 470272.

It is not an unprimeable number, because it can be changed into a prime (470279) 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, 2733 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (28616).

2⁴⁷⁰²⁷² 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 470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

470272 is an abundant number, since it is smaller than the sum of its proper divisors (559904).

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

470272 is a wasteful number, since it uses less digits than its factorization.

470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 470272 is about 685.7638077356. The cubic root of 470272 is about 77.7647966242.

It can be divided in two parts, 4702 and 72, that added together give a palindrome (4774).

The spelling of 470272 in words is "four hundred seventy thousand, two hundred seventy-two", and thus it is an iban number.