255972808 has 192 divisors, whose sum is σ = 660908160. Its totient is φ = 90574848.

The previous prime is 255972803. The next prime is 255972823. The reversal of 255972808 is 808279552.

255972808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (255972803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5952835 + ... + 5952877.

It is an arithmetic number, because the mean of its divisors is an integer number (3442230).

Almost surely, 2^255972808 is an apocalyptic number.

255972808 is a gapful number since it is divisible by the number (28) 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 255972808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330454080).

255972808 is an abundant number, since it is smaller than the sum of its proper divisors (404935352).

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

255972808 is a wasteful number, since it uses less digits than its factorization.

255972808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 255972808 is about 15999.1502274340. The cubic root of 255972808 is about 634.9379384238.

The spelling of 255972808 in words is "two hundred fifty-five million, nine hundred seventy-two thousand, eight hundred eight".