255921984 has 112 divisors (see below), whose sum is σ = 778459200. Its totient is φ = 82349568.

The previous prime is 255921979. The next prime is 255922067. The reversal of 255921984 is 489129552.

It is a happy number.

255921984 is a `hidden beast` number, since 2 + 559 + 2 + 1 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 47559 + ... + 52665.

Almost surely, 2^255921984 is an apocalyptic number.

255921984 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 255921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389229600).

255921984 is an abundant number, since it is smaller than the sum of its proper divisors (522537216).

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

255921984 is a wasteful number, since it uses less digits than its factorization.

255921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5141 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 255921984 is about 15997.5618142266. The cubic root of 255921984 is about 634.8959128378.

The spelling of 255921984 in words is "two hundred fifty-five million, nine hundred twenty-one thousand, nine hundred eighty-four".