256578000 has 320 divisors, whose sum is σ = 974937600. Its totient is φ = 56832000.

The previous prime is 256577989. The next prime is 256578001. The reversal of 256578000 is 875652.

It is a happy number.

It is a super-3 number, since 3×256578000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256578001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721926 + ... + 1722074.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^256578000 is an apocalyptic number.

256578000 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 256578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

256578000 is an abundant number, since it is smaller than the sum of its proper divisors (718359600).

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

256578000 is a wasteful number, since it uses less digits than its factorization.

256578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 256578000 is about 16018.0523160589. The cubic root of 256578000 is about 635.4379354462.

The spelling of 256578000 in words is "two hundred fifty-six million, five hundred seventy-eight thousand".