256744800 has 324 divisors, whose sum is σ = 984991644. Its totient is φ = 62899200.

The previous prime is 256744711. The next prime is 256744819. The reversal of 256744800 is 8447652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216695 + ... + 1216905.

Almost surely, 2^256744800 is an apocalyptic number.

256744800 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 256744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492495822).

256744800 is an abundant number, since it is smaller than the sum of its proper divisors (728246844).

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

256744800 is a wasteful number, since it uses less digits than its factorization.

256744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 256744800 is about 16023.2580956558. The cubic root of 256744800 is about 635.5756038977.

The spelling of 256744800 in words is "two hundred fifty-six million, seven hundred forty-four thousand, eight hundred".