259428768 has 48 divisors (see below), whose sum is σ = 682849440. Its totient is φ = 86241536.

The previous prime is 259428733. The next prime is 259428769. The reversal of 259428768 is 867824952.

259428768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 259428768.

It is not an unprimeable number, because it can be changed into a prime (259428769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33871 + ... + 40817.

It is an arithmetic number, because the mean of its divisors is an integer number (14226030).

Almost surely, 2^259428768 is an apocalyptic number.

It is an amenable number.

259428768 is an abundant number, since it is smaller than the sum of its proper divisors (423420672).

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

259428768 is a wasteful number, since it uses less digits than its factorization.

259428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7341 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 259428768 is about 16106.7926043642. The cubic root of 259428768 is about 637.7826652677.

The spelling of 259428768 in words is "two hundred fifty-nine million, four hundred twenty-eight thousand, seven hundred sixty-eight".