256384000 has 88 divisors (see below), whose sum is σ = 639941328. Its totient is φ = 102502400.

The previous prime is 256383943. The next prime is 256384039. The reversal of 256384000 is 483652.

It is a self number, because there is not a number n which added to its sum of digits gives 256384000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126999 + ... + 129001.

Almost surely, 2^256384000 is an apocalyptic number.

256384000 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 256384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319970664).

256384000 is an abundant number, since it is smaller than the sum of its proper divisors (383557328).

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

256384000 is an equidigital number, since it uses as much as digits as its factorization.

256384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 256384000 is about 16011.9955033718. The cubic root of 256384000 is about 635.2777423897.

The spelling of 256384000 in words is "two hundred fifty-six million, three hundred eighty-four thousand".