259488 has 72 divisors (see below), whose sum is σ = 796068. Its totient is φ = 79872.

The previous prime is 259459. The next prime is 259499. The reversal of 259488 is 884952.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 17424 = 492^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

259488 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 11 ways as a sum of consecutive naturals, for example, 4870 + ... + 4922.

2²⁵⁹⁴⁸⁸ 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 259488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398034).

259488 is an abundant number, since it is smaller than the sum of its proper divisors (536580).

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

259488 is a wasteful number, since it uses less digits than its factorization.

259488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 259488 is about 509.3996466430. The cubic root of 259488 is about 63.7831200451.

It can be divided in two parts, 259 and 488, that added together give a palindrome (747).

The spelling of 259488 in words is "two hundred fifty-nine thousand, four hundred eighty-eight".