256889600 has 216 divisors, whose sum is σ = 718547760. Its totient is φ = 90112000.

The previous prime is 256889597. The next prime is 256889609. The reversal of 256889600 is 6988652.

It is a happy number.

256889600 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 (44).

It is not an unprimeable number, because it can be changed into a prime (256889609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886356 + ... + 2886444.

It is an arithmetic number, because the mean of its divisors is an integer number (3326610).

Almost surely, 2^256889600 is an apocalyptic number.

256889600 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 256889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359273880).

256889600 is an abundant number, since it is smaller than the sum of its proper divisors (461658160).

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

256889600 is a wasteful number, since it uses less digits than its factorization.

256889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 256889600 is about 16027.7758906219. The cubic root of 256889600 is about 635.6950662996.

The spelling of 256889600 in words is "two hundred fifty-six million, eight hundred eighty-nine thousand, six hundred".