255991104 has 280 divisors, whose sum is σ = 840882240. Its totient is φ = 76640256.

The previous prime is 255991069. The next prime is 255991111. The reversal of 255991104 is 401199552.

255991104 is a `hidden beast` number, since 2 + 559 + 91 + 10 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2265352 + ... + 2265464.

Almost surely, 2^255991104 is an apocalyptic number.

255991104 is a gapful number since it is divisible by the number (24) 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 255991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441120).

255991104 is an abundant number, since it is smaller than the sum of its proper divisors (584891136).

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

255991104 is a wasteful number, since it uses less digits than its factorization.

255991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 255991104 is about 15999.7219975848. The cubic root of 255991104 is about 634.9530657439.

The spelling of 255991104 in words is "two hundred fifty-five million, nine hundred ninety-one thousand, one hundred four".