472224 has 24 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 157376.

The previous prime is 472193. The next prime is 472247. The reversal of 472224 is 422274.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 472224.

It is an unprimeable number.

472224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2364 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁴⁷²²²⁴ is an apocalyptic number.

It is an amenable number.

472224 is an abundant number, since it is smaller than the sum of its proper divisors (767616).

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

472224 is a wasteful number, since it uses less digits than its factorization.

472224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4924 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 472224 is about 687.1855644584. The cubic root of 472224 is about 77.8722431944.

Adding to 472224 its reverse (422274), we get a palindrome (894498).

It can be divided in two parts, 472 and 224, that added together give a palindrome (696).

The spelling of 472224 in words is "four hundred seventy-two thousand, two hundred twenty-four", and thus it is an iban number.