255708800 has 96 divisors (see below), whose sum is σ = 647419500. Its totient is φ = 99737600.

The previous prime is 255708799. The next prime is 255708809. The reversal of 255708800 is 8807552.

It can be written as a sum of positive squares in 6 ways, for example, as 64384576 + 191324224 = 8024^2 + 13832^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (255708809) 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, 130226 + ... + 132174.

Almost surely, 2^255708800 is an apocalyptic number.

255708800 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 255708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323709750).

255708800 is an abundant number, since it is smaller than the sum of its proper divisors (391710700).

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

255708800 is a wasteful number, since it uses less digits than its factorization.

255708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 255708800 is about 15990.8974107146. The cubic root of 255708800 is about 634.7195736167.

The spelling of 255708800 in words is "two hundred fifty-five million, seven hundred eight thousand, eight hundred".