256038912 has 144 divisors (see below), whose sum is σ = 766584000. Its totient is φ = 82231296.

The previous prime is 256038911. The next prime is 256038917. The reversal of 256038912 is 219830652.

256038912 is a `hidden beast` number, since 2 + 560 + 3 + 8 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256038911) 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, 534289 + ... + 534767.

It is an arithmetic number, because the mean of its divisors is an integer number (5323500).

Almost surely, 2^256038912 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 256038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383292000).

256038912 is an abundant number, since it is smaller than the sum of its proper divisors (510545088).

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

256038912 is a wasteful number, since it uses less digits than its factorization.

256038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 256038912 is about 16001.2159537955. The cubic root of 256038912 is about 634.9925904854.

The spelling of 256038912 in words is "two hundred fifty-six million, thirty-eight thousand, nine hundred twelve".