259506720 has 384 divisors, whose sum is σ = 1021870080. Its totient is φ = 60963840.

The previous prime is 259506707. The next prime is 259506727. The reversal of 259506720 is 27605952.

259506720 is a `hidden beast` number, since 2 + 595 + 0 + 67 + 2 + 0 = 666.

259506720 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (259506727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2043297 + ... + 2043423.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^259506720 is an apocalyptic number.

259506720 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 259506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510935040).

259506720 is an abundant number, since it is smaller than the sum of its proper divisors (762363360).

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

259506720 is a wasteful number, since it uses less digits than its factorization.

259506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 259506720 is about 16109.2122712441. The cubic root of 259506720 is about 637.8465382350.

The spelling of 259506720 in words is "two hundred fifty-nine million, five hundred six thousand, seven hundred twenty".