256888800 has 288 divisors, whose sum is σ = 1062432000. Its totient is φ = 58682880.

The previous prime is 256888789. The next prime is 256888823. The reversal of 256888800 is 8888652.

256888800 is a `hidden beast` number, since 2 + 568 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150351 + ... + 152049.

It is an arithmetic number, because the mean of its divisors is an integer number (3689000).

Almost surely, 2^256888800 is an apocalyptic number.

256888800 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 256888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216000).

256888800 is an abundant number, since it is smaller than the sum of its proper divisors (805543200).

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

256888800 is a wasteful number, since it uses less digits than its factorization.

256888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 256888800 is about 16027.7509339271. The cubic root of 256888800 is about 635.6944064097.

The spelling of 256888800 in words is "two hundred fifty-six million, eight hundred eighty-eight thousand, eight hundred".