259392 has 56 divisors (see below), whose sum is σ = 788416. Its totient is φ = 73728.

The previous prime is 259387. The next prime is 259397. The reversal of 259392 is 293952.

259392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259387) and next prime (259397).

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259397) by changing a digit.

259392 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, 1248 + ... + 1440.

2²⁵⁹³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394208).

259392 is an abundant number, since it is smaller than the sum of its proper divisors (529024).

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

259392 is a wasteful number, since it uses less digits than its factorization.

259392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 259392 is about 509.3054093567. The cubic root of 259392 is about 63.7752533553.

The spelling of 259392 in words is "two hundred fifty-nine thousand, three hundred ninety-two".