259151360 has 120 divisors (see below), whose sum is σ = 673952400. Its totient is φ = 95526912.

The previous prime is 259151339. The next prime is 259151369. The reversal of 259151360 is 63151952.

259151360 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259151369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432341 + ... + 432939.

It is an arithmetic number, because the mean of its divisors is an integer number (5616270).

Almost surely, 2^259151360 is an apocalyptic number.

259151360 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 259151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336976200).

259151360 is an abundant number, since it is smaller than the sum of its proper divisors (414801040).

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

259151360 is an equidigital number, since it uses as much as digits as its factorization.

259151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 259151360 is about 16098.1787789799. The cubic root of 259151360 is about 637.5552565202. Note that the first 3 decimals are identical.

The spelling of 259151360 in words is "two hundred fifty-nine million, one hundred fifty-one thousand, three hundred sixty".