256845600 has 576 divisors, whose sum is σ = 1079930880. Its totient is φ = 58291200.

The previous prime is 256845599. The next prime is 256845619. The reversal of 256845600 is 6548652.

256845600 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 45 + 600 = 666.

256845600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5464777 + ... + 5464823.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^256845600 is an apocalyptic number.

256845600 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 256845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

256845600 is an abundant number, since it is smaller than the sum of its proper divisors (823085280).

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

256845600 is a wasteful number, since it uses less digits than its factorization.

256845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 256845600 is about 16026.4032146954. The cubic root of 256845600 is about 635.6587703188.

The spelling of 256845600 in words is "two hundred fifty-six million, eight hundred forty-five thousand, six hundred".