256296096 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 70813440.

The previous prime is 256296083. The next prime is 256296101. The reversal of 256296096 is 690692652.

256296096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186805 + ... + 188171.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^256296096 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 256296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

256296096 is an abundant number, since it is smaller than the sum of its proper divisors (626228064).

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

256296096 is a wasteful number, since it uses less digits than its factorization.

256296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 256296096 is about 16009.2503259834. The cubic root of 256296096 is about 635.2051301648.

The spelling of 256296096 in words is "two hundred fifty-six million, two hundred ninety-six thousand, ninety-six".