255688416 has 72 divisors (see below), whose sum is σ = 729434160. Its totient is φ = 84957696.

The previous prime is 255688409. The next prime is 255688417. The reversal of 255688416 is 614886552.

255688416 is a `hidden beast` number, since 2 + 5 + 568 + 84 + 1 + 6 = 666.

255688416 is digitally balanced in base 3, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255688417) 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, 102156 + ... + 104628.

It is an arithmetic number, because the mean of its divisors is an integer number (10131030).

Almost surely, 2^255688416 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 255688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364717080).

255688416 is an abundant number, since it is smaller than the sum of its proper divisors (473745744).

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

255688416 is a wasteful number, since it uses less digits than its factorization.

255688416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2837 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 255688416 is about 15990.2600354091. The cubic root of 255688416 is about 634.7027074685.

The spelling of 255688416 in words is "two hundred fifty-five million, six hundred eighty-eight thousand, four hundred sixteen".