256851000 has 384 divisors, whose sum is σ = 1035740160. Its totient is φ = 58320000.

The previous prime is 256850989. The next prime is 256851017. The reversal of 256851000 is 158652.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700925 + ... + 1701075.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2^256851000 is an apocalyptic number.

256851000 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 256851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517870080).

256851000 is an abundant number, since it is smaller than the sum of its proper divisors (778889160).

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

256851000 is a wasteful number, since it uses less digits than its factorization.

256851000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 256851000 is about 16026.5716857973. The cubic root of 256851000 is about 635.6632250487.

The spelling of 256851000 in words is "two hundred fifty-six million, eight hundred fifty-one thousand".