256841280 has 224 divisors, whose sum is σ = 919764480. Its totient is φ = 68304384.

The previous prime is 256841257. The next prime is 256841317. The reversal of 256841280 is 82148652.

256841280 is a `hidden beast` number, since 2 + 568 + 4 + 12 + 80 = 666.

It is a super-2 number, since 2×256841280² = 131934886224076800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699657 + ... + 700023.

Almost surely, 2^256841280 is an apocalyptic number.

256841280 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 256841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459882240).

256841280 is an abundant number, since it is smaller than the sum of its proper divisors (662923200).

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

256841280 is an frugal number, since it uses more digits than its factorization.

256841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 256841280 is about 16026.2684365388. The cubic root of 256841280 is about 635.6552064899.

The spelling of 256841280 in words is "two hundred fifty-six million, eight hundred forty-one thousand, two hundred eighty".