259546560 has 224 divisors, whose sum is σ = 1014569472. Its totient is φ = 54743040.

The previous prime is 259546541. The next prime is 259546597. The reversal of 259546560 is 65645952.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85875 + ... + 88845.

It is an arithmetic number, because the mean of its divisors is an integer number (4529328).

Almost surely, 2^259546560 is an apocalyptic number.

259546560 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 259546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507284736).

259546560 is an abundant number, since it is smaller than the sum of its proper divisors (755022912).

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

259546560 is a wasteful number, since it uses less digits than its factorization.

259546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 259546560 is about 16110.4487833207. The cubic root of 259546560 is about 637.8791777311.

The spelling of 259546560 in words is "two hundred fifty-nine million, five hundred forty-six thousand, five hundred sixty".