255520800 has 216 divisors, whose sum is σ = 940814784. Its totient is φ = 65134080.

The previous prime is 255520757. The next prime is 255520801. The reversal of 255520800 is 8025552.

It is not an unprimeable number, because it can be changed into a prime (255520801) 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 35 ways as a sum of consecutive naturals, for example, 164829 + ... + 166371.

It is an arithmetic number, because the mean of its divisors is an integer number (4355624).

Almost surely, 2^255520800 is an apocalyptic number.

255520800 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 255520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470407392).

255520800 is an abundant number, since it is smaller than the sum of its proper divisors (685293984).

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

255520800 is a wasteful number, since it uses less digits than its factorization.

255520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 255520800 is about 15985.0179856014. The cubic root of 255520800 is about 634.5639844787.

The spelling of 255520800 in words is "two hundred fifty-five million, five hundred twenty thousand, eight hundred".