255261600 has 324 divisors, whose sum is σ = 992760678. Its totient is φ = 61670400.

The previous prime is 255261583. The next prime is 255261641. The reversal of 255261600 is 6162552.

255261600 is a `hidden beast` number, since 2 + 5 + 52 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 238517136 + 16744464 = 15444^2 + 4092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 871054 + ... + 871346.

Almost surely, 2^255261600 is an apocalyptic number.

255261600 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 255261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496380339).

255261600 is an abundant number, since it is smaller than the sum of its proper divisors (737499078).

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

255261600 is a wasteful number, since it uses less digits than its factorization.

255261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 255261600 is about 15976.9083367215. The cubic root of 255261600 is about 634.3493448982.

It can be divided in two parts, 25 and 5261600, that added together give a palindrome (5261625).

The spelling of 255261600 in words is "two hundred fifty-five million, two hundred sixty-one thousand, six hundred".