256828320 has 480 divisors, whose sum is σ = 1097712000. Its totient is φ = 55240704.

The previous prime is 256828267. The next prime is 256828343. The reversal of 256828320 is 23828652.

256828320 is a `hidden beast` number, since 256 + 82 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1723606 + ... + 1723754.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2^256828320 is an apocalyptic number.

256828320 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 256828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548856000).

256828320 is an abundant number, since it is smaller than the sum of its proper divisors (840883680).

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

256828320 is a wasteful number, since it uses less digits than its factorization.

256828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 256828320 is about 16025.8640952680. The cubic root of 256828320 is about 635.6445147636.

The spelling of 256828320 in words is "two hundred fifty-six million, eight hundred twenty-eight thousand, three hundred twenty".