278256 has 80 divisors (see below), whose sum is σ = 857088. Its totient is φ = 76800.

The previous prime is 278237. The next prime is 278261. The reversal of 278256 is 652872.

278256 is a nontrivial binomial coefficient, being equal to C(34, 5).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁸ + 7 + 2¹⁸ + 8 + 5⁶ + 6³ .

Its product of digits (6720) is a multiple of the sum of its prime divisors (64).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

278256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8961 + ... + 8991.

2²⁷⁸²⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 527×528.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

278256 is an abundant number, since it is smaller than the sum of its proper divisors (578832).

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

278256 is a wasteful number, since it uses less digits than its factorization.

278256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 278256 is about 527.4997630331. The cubic root of 278256 is about 65.2852160865.

The spelling of 278256 in words is "two hundred seventy-eight thousand, two hundred fifty-six".