255922800 has 120 divisors (see below), whose sum is σ = 936951936. Its totient is φ = 58494720.

The previous prime is 255922783. The next prime is 255922813. The reversal of 255922800 is 8229552.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6834 + ... + 23633.

Almost surely, 2^255922800 is an apocalyptic number.

255922800 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 255922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468475968).

255922800 is an abundant number, since it is smaller than the sum of its proper divisors (681029136).

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

255922800 is a wasteful number, since it uses less digits than its factorization.

255922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30495 (or 30484 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 255922800 is about 15997.5873180927. The cubic root of 255922800 is about 634.8965876197.

The spelling of 255922800 in words is "two hundred fifty-five million, nine hundred twenty-two thousand, eight hundred".