255559200 has 144 divisors (see below), whose sum is σ = 895942656. Its totient is φ = 62899200.

The previous prime is 255559159. The next prime is 255559201. The reversal of 255559200 is 2955552.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (255559201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27105 + ... + 35295.

It is an arithmetic number, because the mean of its divisors is an integer number (6221824).

Almost surely, 2^255559200 is an apocalyptic number.

255559200 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 255559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447971328).

255559200 is an abundant number, since it is smaller than the sum of its proper divisors (640383456).

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

255559200 is a wasteful number, since it uses less digits than its factorization.

255559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 255559200 is about 15986.2190651824. The cubic root of 255559200 is about 634.5957705883.

The spelling of 255559200 in words is "two hundred fifty-five million, five hundred fifty-nine thousand, two hundred".