259952 has 40 divisors (see below), whose sum is σ = 630912. Its totient is φ = 100800.

The previous prime is 259949. The next prime is 259967.

259952 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 1337.

2²⁵⁹⁹⁵² is an apocalyptic number.

259952 is a gapful number since it is divisible by the number (22) 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 259952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315456).

259952 is an abundant number, since it is smaller than the sum of its proper divisors (370960).

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

259952 is a wasteful number, since it uses less digits than its factorization.

259952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 8100, while the sum is 32.

The square root of 259952 is about 509.8548813143. The cubic root of 259952 is about 63.8211150519.

The spelling of 259952 in words is "two hundred fifty-nine thousand, nine hundred fifty-two".