256088000 has 224 divisors, whose sum is σ = 770290560. Its totient is φ = 82329600.

The previous prime is 256087981. The next prime is 256088011. The reversal of 256088000 is 880652.

It is a happy number.

256088000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951866 + ... + 952134.

Almost surely, 2^256088000 is an apocalyptic number.

256088000 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 256088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385145280).

256088000 is an abundant number, since it is smaller than the sum of its proper divisors (514202560).

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

256088000 is a wasteful number, since it uses less digits than its factorization.

256088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 256088000 is about 16002.7497637125. The cubic root of 256088000 is about 635.0331683338.

The spelling of 256088000 in words is "two hundred fifty-six million, eighty-eight thousand".