255933216 has 192 divisors, whose sum is σ = 930908160. Its totient is φ = 66458880.

The previous prime is 255933191. The next prime is 255933221. The reversal of 255933216 is 612339552.

255933216 is a `hidden beast` number, since 25 + 593 + 32 + 16 = 666.

255933216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255933216² = 131003622104205312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64605 + ... + 68451.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^255933216 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 255933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

255933216 is an abundant number, since it is smaller than the sum of its proper divisors (674974944).

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

255933216 is a wasteful number, since it uses less digits than its factorization.

255933216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3870 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 255933216 is about 15997.9128638707. The cubic root of 255933216 is about 634.9052008852.

The spelling of 255933216 in words is "two hundred fifty-five million, nine hundred thirty-three thousand, two hundred sixteen".