256608000 has 504 divisors, whose sum is σ = 1045555056. Its totient is φ = 62208000.

The previous prime is 256607999. The next prime is 256608007. The reversal of 256608000 is 806652.

256608000 is a `hidden beast` number, since 2 + 56 + 608 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256608007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327995 + ... + 23328005.

It is an arithmetic number, because the mean of its divisors is an integer number (2074514).

Almost surely, 2^256608000 is an apocalyptic number.

256608000 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 256608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522777528).

256608000 is an abundant number, since it is smaller than the sum of its proper divisors (788947056).

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

256608000 is an frugal number, since it uses more digits than its factorization.

256608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

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

The square root of 256608000 is about 16018.9887321266. The cubic root of 256608000 is about 635.4627003587.

The spelling of 256608000 in words is "two hundred fifty-six million, six hundred eight thousand".