259140864 has 72 divisors (see below), whose sum is σ = 692278272. Its totient is φ = 86056960.

The previous prime is 259140863. The next prime is 259140883. The reversal of 259140864 is 468041952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259140863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293704 + ... + 294584.

It is an arithmetic number, because the mean of its divisors is an integer number (9614976).

Almost surely, 2^259140864 is an apocalyptic number.

259140864 is a gapful number since it is divisible by the number (24) 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 259140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346139136).

259140864 is an abundant number, since it is smaller than the sum of its proper divisors (433137408).

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

259140864 is an equidigital number, since it uses as much as digits as its factorization.

259140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 259140864 is about 16097.8527760692. The cubic root of 259140864 is about 637.5466491046.

The spelling of 259140864 in words is "two hundred fifty-nine million, one hundred forty thousand, eight hundred sixty-four".