255200 has 72 divisors (see below), whose sum is σ = 703080. Its totient is φ = 89600.

The previous prime is 255197. The next prime is 255209. The reversal of 255200 is 2552.

255200 = T₇₅ + T₇₆ + ... + T₁₂₄.

255200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8786 + ... + 8814.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2²⁵⁵²⁰⁰ is an apocalyptic number.

255200 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 255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

255200 is an abundant number, since it is smaller than the sum of its proper divisors (447880).

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

255200 is a wasteful number, since it uses less digits than its factorization.

255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 255200 is about 505.1732376126. The cubic root of 255200 is about 63.4298313508.

255200 divided by its product of nonzero digits (100) gives a palindrome (2552).

Adding to 255200 its reverse (2552), we get a palindrome (257752).

Multiplying 255200 by its reverse (2552), we get a square (651270400 = 25520²).

255200 divided by its reverse (2552) gives a square (100 = 10²).

It can be divided in two parts, 25 and 5200, that added together give a palindrome (5225).

The spelling of 255200 in words is "two hundred fifty-five thousand, two hundred".