255806208 has 288 divisors, whose sum is σ = 918328320. Its totient is φ = 68567040.

The previous prime is 255806171. The next prime is 255806209. The reversal of 255806208 is 802608552.

255806208 is a `hidden beast` number, since 25 + 5 + 8 + 0 + 620 + 8 = 666.

255806208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×255806208³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255806209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822373 + ... + 822683.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^255806208 is an apocalyptic number.

255806208 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 255806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

255806208 is an abundant number, since it is smaller than the sum of its proper divisors (662522112).

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

255806208 is a wasteful number, since it uses less digits than its factorization.

255806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 255806208 is about 15993.9428534680. The cubic root of 255806208 is about 634.8001586615.

The spelling of 255806208 in words is "two hundred fifty-five million, eight hundred six thousand, two hundred eight".