256989600 has 216 divisors, whose sum is σ = 1035871200. Its totient is φ = 58728960.

The previous prime is 256989587. The next prime is 256989617. The reversal of 256989600 is 6989652.

256989600 is a `hidden beast` number, since 2 + 569 + 89 + 6 + 0 + 0 = 666.

256989600 is digitally balanced in base 3, 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47851 + ... + 52949.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2^256989600 is an apocalyptic number.

256989600 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 256989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

256989600 is an abundant number, since it is smaller than the sum of its proper divisors (778881600).

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

256989600 is a wasteful number, since it uses less digits than its factorization.

256989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 256989600 is about 16030.8951715118. The cubic root of 256989600 is about 635.7775417545. Note that the first 3 decimals are identical.

The spelling of 256989600 in words is "two hundred fifty-six million, nine hundred eighty-nine thousand, six hundred".