259522560 has 240 divisors, whose sum is σ = 981466200. Its totient is φ = 62914560.

The previous prime is 259522553. The next prime is 259522597. The reversal of 259522560 is 65225952.

259522560 is a `hidden beast` number, since 2 + 5 + 95 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23592955 + ... + 23592965.

Almost surely, 2^259522560 is an apocalyptic number.

259522560 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 259522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490733100).

259522560 is an abundant number, since it is smaller than the sum of its proper divisors (721943640).

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

259522560 is an frugal number, since it uses more digits than its factorization.

259522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 259522560 is about 16109.7039078935. The cubic root of 259522560 is about 637.8595157841.

The spelling of 259522560 in words is "two hundred fifty-nine million, five hundred twenty-two thousand, five hundred sixty".