255564800 has 132 divisors (see below), whose sum is σ = 647261400. Its totient is φ = 100024320.

The previous prime is 255564797. The next prime is 255564811. The reversal of 255564800 is 8465552.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1715126 + ... + 1715274.

Almost surely, 2^255564800 is an apocalyptic number.

255564800 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 255564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323630700).

255564800 is an abundant number, since it is smaller than the sum of its proper divisors (391696600).

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

255564800 is a wasteful number, since it uses less digits than its factorization.

255564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 255564800 is about 15986.3942150818. The cubic root of 255564800 is about 634.6004057965.

The spelling of 255564800 in words is "two hundred fifty-five million, five hundred sixty-four thousand, eight hundred".