256440192 has 64 divisors (see below), whose sum is σ = 699618000. Its totient is φ = 83165184.

The previous prime is 256440187. The next prime is 256440209. The reversal of 256440192 is 291044652.

256440192 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5184 + ... + 23232.

Almost surely, 2^256440192 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 256440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349809000).

256440192 is an abundant number, since it is smaller than the sum of its proper divisors (443177808).

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

256440192 is a wasteful number, since it uses less digits than its factorization.

256440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18091 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 256440192 is about 16013.7500917181. The cubic root of 256440192 is about 635.3241505370.

The spelling of 256440192 in words is "two hundred fifty-six million, four hundred forty thousand, one hundred ninety-two".