259548960 has 96 divisors (see below), whose sum is σ = 891922752. Its totient is φ = 62919680.

The previous prime is 259548953. The next prime is 259548967. The reversal of 259548960 is 69845952.

259548960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259548953) and next prime (259548967).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (259548967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19299 + ... + 29858.

It is an arithmetic number, because the mean of its divisors is an integer number (9290862).

Almost surely, 2^259548960 is an apocalyptic number.

259548960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259548960 is an abundant number, since it is smaller than the sum of its proper divisors (632373792).

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

259548960 is a wasteful number, since it uses less digits than its factorization.

259548960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49186 (or 49178 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 259548960 is about 16110.5232689693. The cubic root of 259548960 is about 637.8811438592.

The spelling of 259548960 in words is "two hundred fifty-nine million, five hundred forty-eight thousand, nine hundred sixty".