255633408 has 240 divisors, whose sum is σ = 808647840. Its totient is φ = 80289792.

The previous prime is 255633383. The next prime is 255633421. The reversal of 255633408 is 804336552.

It is a happy number.

255633408 is a `hidden beast` number, since 255 + 63 + 340 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3815391 + ... + 3815457.

It is an arithmetic number, because the mean of its divisors is an integer number (3369366).

Almost surely, 2^255633408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404323920).

255633408 is an abundant number, since it is smaller than the sum of its proper divisors (553014432).

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

255633408 is an equidigital number, since it uses as much as digits as its factorization.

255633408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 255633408 is about 15988.5398958129. The cubic root of 255633408 is about 634.6571882240.

The spelling of 255633408 in words is "two hundred fifty-five million, six hundred thirty-three thousand, four hundred eight".