256376000 has 112 divisors (see below), whose sum is σ = 645078720. Its totient is φ = 100915200.

The previous prime is 256375967. The next prime is 256376047. The reversal of 256376000 is 673652.

It is a congruent number.

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, 583781 + ... + 584219.

Almost surely, 2^256376000 is an apocalyptic number.

256376000 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 256376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322539360).

256376000 is an abundant number, since it is smaller than the sum of its proper divisors (388702720).

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

256376000 is an equidigital number, since it uses as much as digits as its factorization.

256376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 256376000 is about 16011.7456887124. The cubic root of 256376000 is about 635.2711347559.

The spelling of 256376000 in words is "two hundred fifty-six million, three hundred seventy-six thousand".