256845000 has 80 divisors (see below), whose sum is σ = 802430640. Its totient is φ = 68488000.

The previous prime is 256844981. The next prime is 256845031. The reversal of 256845000 is 548652.

256845000 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6439 + ... + 23561.

It is an arithmetic number, because the mean of its divisors is an integer number (10030383).

Almost surely, 2^256845000 is an apocalyptic number.

256845000 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 256845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401215320).

256845000 is an abundant number, since it is smaller than the sum of its proper divisors (545585640).

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

256845000 is a wasteful number, since it uses less digits than its factorization.

256845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 256845000 is about 16026.3844955748. The cubic root of 256845000 is about 635.6582753450.

The spelling of 256845000 in words is "two hundred fifty-six million, eight hundred forty-five thousand".