255747200 has 96 divisors (see below), whose sum is σ = 636352500. Its totient is φ = 101560320.

The previous prime is 255747199. The next prime is 255747209. The reversal of 255747200 is 2747552.

It can be written as a sum of positive squares in 6 ways, for example, as 186923584 + 68823616 = 13672^2 + 8296^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (255747209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732626 + ... + 732974.

Almost surely, 2^255747200 is an apocalyptic number.

255747200 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 255747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318176250).

255747200 is an abundant number, since it is smaller than the sum of its proper divisors (380605300).

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

255747200 is a wasteful number, since it uses less digits than its factorization.

255747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 255747200 is about 15992.0980487239. The cubic root of 255747200 is about 634.7513441459.

The spelling of 255747200 in words is "two hundred fifty-five million, seven hundred forty-seven thousand, two hundred".