256000 has 48 divisors (see below), whose sum is σ = 638820. Its totient is φ = 102400.

The previous prime is 255989. The next prime is 256019. The reversal of 256000 is 652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 82944 = 416^2 + 288^2 .

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 3 and base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51198 + ... + 51202.

2²⁵⁶⁰⁰⁰ is an apocalyptic number.

256000 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 256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319410).

256000 is an abundant number, since it is smaller than the sum of its proper divisors (382820).

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

256000 is an frugal number, since it uses more digits than its factorization.

256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 256000 is about 505.9644256269. The cubic root of 256000 is about 63.4960420787.

Adding to 256000 its reverse (652), we get a palindrome (256652).

The spelling of 256000 in words is "two hundred fifty-six thousand".