256256000 has 384 divisors, whose sum is σ = 858574080. Its totient is φ = 73728000.

The previous prime is 256255973. The next prime is 256256003. The reversal of 256256000 is 652652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256256003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19711994 + ... + 19712006.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^256256000 is an apocalyptic number.

256256000 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 256256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

256256000 is an abundant number, since it is smaller than the sum of its proper divisors (602318080).

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

256256000 is a wasteful number, since it uses less digits than its factorization.

256256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 256256000 is about 16007.9980009994. The cubic root of 256256000 is about 635.1720037489.

The spelling of 256256000 in words is "two hundred fifty-six million, two hundred fifty-six thousand".