259781920 has 96 divisors (see below), whose sum is σ = 639334080. Its totient is φ = 99671040.

The previous prime is 259781911. The next prime is 259781933. The reversal of 259781920 is 29187952.

259781920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419371 + ... + 419989.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730).

Almost surely, 2^259781920 is an apocalyptic number.

259781920 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 259781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

259781920 is an abundant number, since it is smaller than the sum of its proper divisors (379552160).

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

259781920 is a wasteful number, since it uses less digits than its factorization.

259781920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 259781920 is about 16117.7517042545. The cubic root of 259781920 is about 638.0719316964.

The spelling of 259781920 in words is "two hundred fifty-nine million, seven hundred eighty-one thousand, nine hundred twenty".