256381200 has 300 divisors, whose sum is σ = 947457588. Its totient is φ = 66355200.

The previous prime is 256381187. The next prime is 256381201. The reversal of 256381200 is 2183652.

256381200 is a `hidden beast` number, since 2 + 5 + 638 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 72182016 + 184199184 = 8496^2 + 13572^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256381201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1328304 + ... + 1328496.

Almost surely, 2^256381200 is an apocalyptic number.

256381200 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 256381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473728794).

256381200 is an abundant number, since it is smaller than the sum of its proper divisors (691076388).

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

256381200 is a wasteful number, since it uses less digits than its factorization.

256381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 256381200 is about 16011.9080686844. The cubic root of 256381200 is about 635.2754297335.

The spelling of 256381200 in words is "two hundred fifty-six million, three hundred eighty-one thousand, two hundred".