255931200 has 252 divisors, whose sum is σ = 1039997920. Its totient is φ = 58475520.

The previous prime is 255931187. The next prime is 255931213. The reversal of 255931200 is 2139552.

It is an interprime number because it is at equal distance from previous prime (255931187) and next prime (255931213).

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 99531 + ... + 102069.

Almost surely, 2^255931200 is an apocalyptic number.

255931200 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 255931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519998960).

255931200 is an abundant number, since it is smaller than the sum of its proper divisors (784066720).

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

255931200 is a wasteful number, since it uses less digits than its factorization.

255931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 255931200 is about 15997.8498555275. The cubic root of 255931200 is about 634.9035338198.

The spelling of 255931200 in words is "two hundred fifty-five million, nine hundred thirty-one thousand, two hundred".