259260820 has 96 divisors (see below), whose sum is σ = 674892288. Its totient is φ = 81464832.

The previous prime is 259260817. The next prime is 259260821. The reversal of 259260820 is 28062952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259260821) 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, 303514 + ... + 304366.

It is an arithmetic number, because the mean of its divisors is an integer number (7030128).

Almost surely, 2^259260820 is an apocalyptic number.

259260820 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 259260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337446144).

259260820 is an abundant number, since it is smaller than the sum of its proper divisors (415631468).

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

259260820 is a wasteful number, since it uses less digits than its factorization.

259260820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 259260820 is about 16101.5781835198. The cubic root of 259260820 is about 637.6450071266.

The spelling of 259260820 in words is "two hundred fifty-nine million, two hundred sixty thousand, eight hundred twenty".