259234560 has 288 divisors, whose sum is σ = 992402880. Its totient is φ = 63700992.

The previous prime is 259234531. The next prime is 259234589. The reversal of 259234560 is 65432952.

259234560 is a `hidden beast` number, since 2 + 5 + 92 + 3 + 4 + 560 = 666.

259234560 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 (259234531) and next prime (259234589).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 448992 + ... + 449568.

Almost surely, 2^259234560 is an apocalyptic number.

259234560 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 259234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496201440).

259234560 is an abundant number, since it is smaller than the sum of its proper divisors (733168320).

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

259234560 is a wasteful number, since it uses less digits than its factorization.

259234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 259234560 is about 16100.7627148530. The cubic root of 259234560 is about 637.6234778121.

The spelling of 259234560 in words is "two hundred fifty-nine million, two hundred thirty-four thousand, five hundred sixty".