256824000 has 448 divisors, whose sum is σ = 998524800. Its totient is φ = 64512000.

The previous prime is 256823929. The next prime is 256824013. The reversal of 256824000 is 428652.

256824000 is a `hidden beast` number, since 256 + 8 + 2 + 400 + 0 = 666.

256824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6263980 + ... + 6264020.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^256824000 is an apocalyptic number.

256824000 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 256824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499262400).

256824000 is an abundant number, since it is smaller than the sum of its proper divisors (741700800).

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

256824000 is a wasteful number, since it uses less digits than its factorization.

256824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 256824000 is about 16025.7293125773. The cubic root of 256824000 is about 635.6409507749.

The spelling of 256824000 in words is "two hundred fifty-six million, eight hundred twenty-four thousand".