259381920 has 384 divisors, whose sum is σ = 1045094400. Its totient is φ = 52641792.

The previous prime is 259381907. The next prime is 259381931. The reversal of 259381920 is 29183952.

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, 1085161 + ... + 1085399.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^259381920 is an apocalyptic number.

259381920 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 259381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

259381920 is an abundant number, since it is smaller than the sum of its proper divisors (785712480).

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

259381920 is a wasteful number, since it uses less digits than its factorization.

259381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 259381920 is about 16105.3382454390. The cubic root of 259381920 is about 637.7442724027.

The spelling of 259381920 in words is "two hundred fifty-nine million, three hundred eighty-one thousand, nine hundred twenty".