259841120 has 288 divisors, whose sum is σ = 819092736. Its totient is φ = 76876800.

The previous prime is 259841119. The next prime is 259841129. The reversal of 259841120 is 21148952.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259841129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983455 + ... + 1983585.

It is an arithmetic number, because the mean of its divisors is an integer number (2844072).

Almost surely, 2^259841120 is an apocalyptic number.

259841120 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 259841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409546368).

259841120 is an abundant number, since it is smaller than the sum of its proper divisors (559251616).

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

259841120 is a wasteful number, since it uses less digits than its factorization.

259841120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 259841120 is about 16119.5880840672. The cubic root of 259841120 is about 638.1203966927.

The spelling of 259841120 in words is "two hundred fifty-nine million, eight hundred forty-one thousand, one hundred twenty".