256068384 has 192 divisors, whose sum is σ = 825043968. Its totient is φ = 68428800.

The previous prime is 256068349. The next prime is 256068391. The reversal of 256068384 is 483860652.

It is a super-5 number, since 5×256068384⁵ (a number of 43 digits) contains 55555 as substring.

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, 315339 + ... + 316149.

It is an arithmetic number, because the mean of its divisors is an integer number (4297104).

Almost surely, 2^256068384 is an apocalyptic number.

256068384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256068384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412521984).

256068384 is an abundant number, since it is smaller than the sum of its proper divisors (568975584).

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

256068384 is a wasteful number, since it uses less digits than its factorization.

256068384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 256068384 is about 16002.1368573075. The cubic root of 256068384 is about 635.0169536879.

The spelling of 256068384 in words is "two hundred fifty-six million, sixty-eight thousand, three hundred eighty-four".