255328416 has 288 divisors, whose sum is σ = 895164480. Its totient is φ = 70543872.

The previous prime is 255328399. The next prime is 255328417. The reversal of 255328416 is 614823552.

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

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 (255328417) 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, 1566351 + ... + 1566513.

It is an arithmetic number, because the mean of its divisors is an integer number (3108210).

Almost surely, 2^255328416 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 255328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447582240).

255328416 is an abundant number, since it is smaller than the sum of its proper divisors (639836064).

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

255328416 is a wasteful number, since it uses less digits than its factorization.

255328416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 255328416 is about 15978.9992177232. Note that the first 3 decimals coincide. The cubic root of 255328416 is about 634.4046881072.

The spelling of 255328416 in words is "two hundred fifty-five million, three hundred twenty-eight thousand, four hundred sixteen".