256085880 has 128 divisors (see below), whose sum is σ = 796668480. Its totient is φ = 65802240.

The previous prime is 256085861. The next prime is 256085881. The reversal of 256085880 is 88580652.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256085881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608070 + ... + 608490.

Almost surely, 2^256085880 is an apocalyptic number.

256085880 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 256085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398334240).

256085880 is an abundant number, since it is smaller than the sum of its proper divisors (540582600).

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

256085880 is a wasteful number, since it uses less digits than its factorization.

256085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 256085880 is about 16002.6835249592. The cubic root of 256085880 is about 635.0314159752.

The spelling of 256085880 in words is "two hundred fifty-six million, eighty-five thousand, eight hundred eighty".