255903120 has 240 divisors, whose sum is σ = 951724800. Its totient is φ = 61102080.

The previous prime is 255903103. The next prime is 255903127. The reversal of 255903120 is 21309552.

255903120 is a `hidden beast` number, since 25 + 590 + 31 + 20 = 666.

255903120 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 (240).

It is not an unprimeable number, because it can be changed into a prime (255903127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 625476 + ... + 625884.

It is an arithmetic number, because the mean of its divisors is an integer number (3965520).

Almost surely, 2^255903120 is an apocalyptic number.

255903120 is a gapful number since it is divisible by the number (20) 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 255903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475862400).

255903120 is an abundant number, since it is smaller than the sum of its proper divisors (695821680).

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

255903120 is a wasteful number, since it uses less digits than its factorization.

255903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 255903120 is about 15996.9722135159. The cubic root of 255903120 is about 634.8803130698.

The spelling of 255903120 in words is "two hundred fifty-five million, nine hundred three thousand, one hundred twenty".