259220 has 24 divisors (see below), whose sum is σ = 586824. Its totient is φ = 95616.

The previous prime is 259219. The next prime is 259229. The reversal of 259220 is 22952.

259220 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 232324 = 164^2 + 482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 259192 and 259201.

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 259220.

It is not an unprimeable number, because it can be changed into a prime (259229) 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, 239 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (24451).

2²⁵⁹²²⁰ is an apocalyptic number.

259220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259220 is an abundant number, since it is smaller than the sum of its proper divisors (327604).

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

259220 is a wasteful number, since it uses less digits than its factorization.

259220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 259220 is about 509.1365239305. The cubic root of 259220 is about 63.7611540140.

The spelling of 259220 in words is "two hundred fifty-nine thousand, two hundred twenty".