256384992 has 24 divisors (see below), whose sum is σ = 673010856. Its totient is φ = 85461632.

The previous prime is 256384991. The next prime is 256385011. The reversal of 256384992 is 299483652.

It is a happy number.

256384992 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 (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256384991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335243 + ... + 1335434.

It is an arithmetic number, because the mean of its divisors is an integer number (28042119).

Almost surely, 2^256384992 is an apocalyptic number.

It is an amenable number.

256384992 is an abundant number, since it is smaller than the sum of its proper divisors (416625864).

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

256384992 is a wasteful number, since it uses less digits than its factorization.

256384992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670690 (or 2670682 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 256384992 is about 16012.0264801180. The cubic root of 256384992 is about 635.2785617267.

The spelling of 256384992 in words is "two hundred fifty-six million, three hundred eighty-four thousand, nine hundred ninety-two".