259380 has 72 divisors (see below), whose sum is σ = 864864. Its totient is φ = 62400.

The previous prime is 259379. The next prime is 259381. The reversal of 259380 is 83952.

It is an interprime number because it is at equal distance from previous prime (259379) and next prime (259381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1915 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2²⁵⁹³⁸⁰ is an apocalyptic number.

259380 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 259380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

259380 is an abundant number, since it is smaller than the sum of its proper divisors (605484).

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

259380 is a wasteful number, since it uses less digits than its factorization.

259380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 259380 is about 509.2936284699. The cubic root of 259380 is about 63.7742698826.

The spelling of 259380 in words is "two hundred fifty-nine thousand, three hundred eighty".