259905520 has 160 divisors (see below), whose sum is σ = 763665408. Its totient is φ = 80154624.

The previous prime is 259905517. The next prime is 259905523. The reversal of 259905520 is 25509952.

It is an interprime number because it is at equal distance from previous prime (259905517) and next prime (259905523).

It is a self number, because there is not a number n which added to its sum of digits gives 259905520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259905523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218367 + ... + 219553.

Almost surely, 2^259905520 is an apocalyptic number.

259905520 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 259905520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381832704).

259905520 is an abundant number, since it is smaller than the sum of its proper divisors (503759888).

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

259905520 is a wasteful number, since it uses less digits than its factorization.

259905520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 37.

The square root of 259905520 is about 16121.5855299657. The cubic root of 259905520 is about 638.1731103907.

The spelling of 259905520 in words is "two hundred fifty-nine million, nine hundred five thousand, five hundred twenty".