259224 has 32 divisors (see below), whose sum is σ = 741120. Its totient is φ = 74016.

The previous prime is 259219. The next prime is 259229. The reversal of 259224 is 422952.

It is an interprime number because it is at equal distance from previous prime (259219) and next prime (259229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 259194 and 259203.

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 259224.

It is not an unprimeable number, because it can be changed into a prime (259229) by changing a digit.

259224 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 7 ways as a sum of consecutive naturals, for example, 604 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (23160).

2²⁵⁹²²⁴ is an apocalyptic number.

259224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

259224 is an abundant number, since it is smaller than the sum of its proper divisors (481896).

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

259224 is a wasteful number, since it uses less digits than its factorization.

259224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1555 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 259224 is about 509.1404521348. The cubic root of 259224 is about 63.7614819765.

259224 divided by its sum of digits (24) gives a palindrome (10801).

The spelling of 259224 in words is "two hundred fifty-nine thousand, two hundred twenty-four".