256759984 has 40 divisors (see below), whose sum is σ = 545871312. Its totient is φ = 116263680.

The previous prime is 256759981. The next prime is 256759991. The reversal of 256759984 is 489957652.

256759984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256759981) 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, 622 + ... + 22669.

Almost surely, 2^256759984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256759984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272935656).

256759984 is an abundant number, since it is smaller than the sum of its proper divisors (289111328).

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

256759984 is a wasteful number, since it uses less digits than its factorization.

256759984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23365 (or 23359 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The square root of 256759984 is about 16023.7318999040. The cubic root of 256759984 is about 635.5881330573.

The spelling of 256759984 in words is "two hundred fifty-six million, seven hundred fifty-nine thousand, nine hundred eighty-four".