255900800 has 96 divisors (see below), whose sum is σ = 636826800. Its totient is φ = 101606400.

The previous prime is 255900781. The next prime is 255900851. The reversal of 255900800 is 8009552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675011 + ... + 675389.

Almost surely, 2^255900800 is an apocalyptic number.

255900800 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 255900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318413400).

255900800 is an abundant number, since it is smaller than the sum of its proper divisors (380926000).

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

255900800 is a wasteful number, since it uses less digits than its factorization.

255900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 255900800 is about 15996.8996996293. The cubic root of 255900800 is about 634.8783944703.

The spelling of 255900800 in words is "two hundred fifty-five million, nine hundred thousand, eight hundred".