256416216 has 192 divisors, whose sum is σ = 785998080. Its totient is φ = 69431040.

The previous prime is 256416211. The next prime is 256416217. The reversal of 256416216 is 612614652.

256416216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256416211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3089311 + ... + 3089393.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740).

Almost surely, 2^256416216 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 256416216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392999040).

256416216 is an abundant number, since it is smaller than the sum of its proper divisors (529581864).

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

256416216 is a wasteful number, since it uses less digits than its factorization.

256416216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

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

The square root of 256416216 is about 16013.0014675575. The cubic root of 256416216 is about 635.3043499401.

The spelling of 256416216 in words is "two hundred fifty-six million, four hundred sixteen thousand, two hundred sixteen".