256886320 has 120 divisors (see below), whose sum is σ = 652333248. Its totient is φ = 94003200.

The previous prime is 256886297. The next prime is 256886323. The reversal of 256886320 is 23688652.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256886323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947785 + ... + 948055.

Almost surely, 2^256886320 is an apocalyptic number.

256886320 is a gapful number since it is divisible by the number (20) 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 256886320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326166624).

256886320 is an abundant number, since it is smaller than the sum of its proper divisors (395446928).

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

256886320 is a wasteful number, since it uses less digits than its factorization.

256886320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 256886320 is about 16027.6735679262. The cubic root of 256886320 is about 635.6923607422.

It can be divided in two parts, 2568 and 86320, that added together give a palindrome (88888).

The spelling of 256886320 in words is "two hundred fifty-six million, eight hundred eighty-six thousand, three hundred twenty".