259420 has 48 divisors (see below), whose sum is σ = 665280. Its totient is φ = 82944.

The previous prime is 259411. The next prime is 259421. The reversal of 259420 is 24952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 259391 and 259400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259421) by changing a digit.

259420 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 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 2434.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2²⁵⁹⁴²⁰ is an apocalyptic number.

259420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

259420 is an abundant number, since it is smaller than the sum of its proper divisors (405860).

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

259420 is a wasteful number, since it uses less digits than its factorization.

259420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 259420 is about 509.3328970330. The cubic root of 259420 is about 63.7775480069. Note that the first 3 decimals are identical.

The spelling of 259420 in words is "two hundred fifty-nine thousand, four hundred twenty".