255283200 has 234 divisors, whose sum is σ = 917670494. Its totient is φ = 67829760.

The previous prime is 255283163. The next prime is 255283211. The reversal of 255283200 is 2382552.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 253956096 = 1152^2 + 15936^2 .

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 17 ways as a sum of consecutive naturals, for example, 921462 + ... + 921738.

Almost surely, 2^255283200 is an apocalyptic number.

255283200 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 255283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458835247).

255283200 is an abundant number, since it is smaller than the sum of its proper divisors (662387294).

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

255283200 is a wasteful number, since it uses less digits than its factorization.

255283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 255283200 is about 15977.5842980095. The cubic root of 255283200 is about 634.3672370781.

The spelling of 255283200 in words is "two hundred fifty-five million, two hundred eighty-three thousand, two hundred".