259500240 has 320 divisors, whose sum is σ = 977080320. Its totient is φ = 63037440.

The previous prime is 259500229. The next prime is 259500253. The reversal of 259500240 is 42005952.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358545 + ... + 1358735.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^259500240 is an apocalyptic number.

259500240 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 259500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

259500240 is an abundant number, since it is smaller than the sum of its proper divisors (717580080).

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

259500240 is a wasteful number, since it uses less digits than its factorization.

259500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 259500240 is about 16109.0111428356. The cubic root of 259500240 is about 637.8412290854.

The spelling of 259500240 in words is "two hundred fifty-nine million, five hundred thousand, two hundred forty".