259955432 has 48 divisors (see below), whose sum is σ = 567306180. Its totient is φ = 111203840.

The previous prime is 259955431. The next prime is 259955459. The reversal of 259955432 is 234559952.

It can be written as a sum of positive squares in 2 ways, for example, as 241926916 + 18028516 = 15554^2 + 4246^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (259955431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8558 + ... + 24354.

Almost surely, 2^259955432 is an apocalyptic number.

259955432 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 259955432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283653090).

259955432 is an abundant number, since it is smaller than the sum of its proper divisors (307350748).

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

259955432 is a wasteful number, since it uses less digits than its factorization.

259955432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15842 (or 15827 counting only the distinct ones).

The product of its digits is 486000, while the sum is 44.

The square root of 259955432 is about 16123.1334423554. The cubic root of 259955432 is about 638.2139591544.

The spelling of 259955432 in words is "two hundred fifty-nine million, nine hundred fifty-five thousand, four hundred thirty-two".