259670880 has 384 divisors, whose sum is σ = 1076060160. Its totient is φ = 57231360.

The previous prime is 259670863. The next prime is 259670881. The reversal of 259670880 is 88076952.

259670880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259670881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937302 + ... + 937578.

It is an arithmetic number, because the mean of its divisors is an integer number (2802240).

Almost surely, 2^259670880 is an apocalyptic number.

259670880 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 259670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538030080).

259670880 is an abundant number, since it is smaller than the sum of its proper divisors (816389280).

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

259670880 is a wasteful number, since it uses less digits than its factorization.

259670880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 259670880 is about 16114.3066869164. The cubic root of 259670880 is about 637.9810072208.

The spelling of 259670880 in words is "two hundred fifty-nine million, six hundred seventy thousand, eight hundred eighty".