259406880 has 96 divisors (see below), whose sum is σ = 852695424. Its totient is φ = 66164736.

The previous prime is 259406863. The next prime is 259406909. The reversal of 259406880 is 88604952.

259406880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 22788.

It is an arithmetic number, because the mean of its divisors is an integer number (8882244).

Almost surely, 2^259406880 is an apocalyptic number.

259406880 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 259406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426347712).

259406880 is an abundant number, since it is smaller than the sum of its proper divisors (593288544).

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

259406880 is a wasteful number, since it uses less digits than its factorization.

259406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23538 (or 23530 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 259406880 is about 16106.1131251460. The cubic root of 259406880 is about 637.7647281930.

The spelling of 259406880 in words is "two hundred fifty-nine million, four hundred six thousand, eight hundred eighty".