256096000 has 144 divisors (see below), whose sum is σ = 654308928. Its totient is φ = 99840000.

The previous prime is 256095989. The next prime is 256096019. The reversal of 256096000 is 690652.

It is a super-2 number, since 2×256096000² = 131170322432000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256096000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1695925 + ... + 1696075.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^256096000 is an apocalyptic number.

256096000 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 256096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327154464).

256096000 is an abundant number, since it is smaller than the sum of its proper divisors (398212928).

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

256096000 is an equidigital number, since it uses as much as digits as its factorization.

256096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 256096000 is about 16002.9997188027. Note that the first 3 decimals coincide. The cubic root of 256096000 is about 635.0397809207.

The spelling of 256096000 in words is "two hundred fifty-six million, ninety-six thousand".