256941216 has 144 divisors (see below), whose sum is σ = 840176064. Its totient is φ = 72963072.

The previous prime is 256941197. The next prime is 256941221. The reversal of 256941216 is 612149652.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469455 + ... + 470001.

It is an arithmetic number, because the mean of its divisors is an integer number (5834556).

Almost surely, 2^256941216 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 256941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420088032).

256941216 is an abundant number, since it is smaller than the sum of its proper divisors (583234848).

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

256941216 is a wasteful number, since it uses less digits than its factorization.

256941216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 256941216 is about 16029.3860144423. The cubic root of 256941216 is about 635.7376395025.

The spelling of 256941216 in words is "two hundred fifty-six million, nine hundred forty-one thousand, two hundred sixteen".