256894000 has 80 divisors (see below), whose sum is σ = 677697696. Its totient is φ = 93408000.

The previous prime is 256893991. The next prime is 256894019. The reversal of 256894000 is 498652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16162 + ... + 27838.

Almost surely, 2^256894000 is an apocalyptic number.

256894000 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 256894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338848848).

256894000 is an abundant number, since it is smaller than the sum of its proper divisors (420803696).

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

256894000 is a wasteful number, since it uses less digits than its factorization.

256894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 256894000 is about 16027.9131517487. The cubic root of 256894000 is about 635.6986956698.

The spelling of 256894000 in words is "two hundred fifty-six million, eight hundred ninety-four thousand".