255849120 has 144 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 67640832.

The previous prime is 255849119. The next prime is 255849137. The reversal of 255849120 is 21948552.

It is a tau number, because it is divible by the number of its divisors (144).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182181 + ... + 183579.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^255849120 is an apocalyptic number.

255849120 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 255849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

255849120 is an abundant number, since it is smaller than the sum of its proper divisors (624739680).

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

255849120 is a wasteful number, since it uses less digits than its factorization.

255849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 255849120 is about 15995.2843050694. The cubic root of 255849120 is about 634.8356530064.

The spelling of 255849120 in words is "two hundred fifty-five million, eight hundred forty-nine thousand, one hundred twenty".