259428960 has 384 divisors, whose sum is σ = 1085736960. Its totient is φ = 56567808.

The previous prime is 259428947. The next prime is 259428971. The reversal of 259428960 is 69824952.

259428960 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 (45).

It is a congruent number.

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, 695334 + ... + 695706.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^259428960 is an apocalyptic number.

259428960 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 259428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

259428960 is an abundant number, since it is smaller than the sum of its proper divisors (826308000).

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

259428960 is a wasteful number, since it uses less digits than its factorization.

259428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 259428960 is about 16106.7985645814. The cubic root of 259428960 is about 637.7828226060.

The spelling of 259428960 in words is "two hundred fifty-nine million, four hundred twenty-eight thousand, nine hundred sixty".