472257 has 8 divisors (see below), whose sum is σ = 699680. Its totient is φ = 314820.

The previous prime is 472253. The next prime is 472261. The reversal of 472257 is 752274.

It is an interprime number because it is at equal distance from previous prime (472253) and next prime (472261).

It is not a de Polignac number, because 472257 - 2² = 472253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17491 = 472257 / (4 + 7 + 2 + 2 + 5 + 7).

It is a Duffinian number.

472257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 472257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472257.

It is not an unprimeable number, because it can be changed into a prime (472253) 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, 8719 + ... + 8772.

It is an arithmetic number, because the mean of its divisors is an integer number (87460).

2⁴⁷²²⁵⁷ is an apocalyptic number.

It is an amenable number.

472257 is a deficient number, since it is larger than the sum of its proper divisors (227423).

472257 is a wasteful number, since it uses less digits than its factorization.

472257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17500 (or 17494 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 472257 is about 687.2095750206. The cubic root of 472257 is about 77.8740571105.

It can be divided in two parts, 472 and 257, that added together give a 6-th power (729 = 3⁶).

The spelling of 472257 in words is "four hundred seventy-two thousand, two hundred fifty-seven".