256159800 has 384 divisors, whose sum is σ = 984312000. Its totient is φ = 60825600.

The previous prime is 256159753. The next prime is 256159921. The reversal of 256159800 is 8951652.

It is a happy number.

256159800 is a `hidden beast` number, since 2 + 5 + 61 + 598 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2878156 + ... + 2878244.

Almost surely, 2^256159800 is an apocalyptic number.

256159800 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 256159800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156000).

256159800 is an abundant number, since it is smaller than the sum of its proper divisors (728152200).

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

256159800 is a wasteful number, since it uses less digits than its factorization.

256159800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 256159800 is about 16004.9929709450. The cubic root of 256159800 is about 635.0925113733.

The spelling of 256159800 in words is "two hundred fifty-six million, one hundred fifty-nine thousand, eight hundred".