255579984 has 120 divisors (see below), whose sum is σ = 797127552. Its totient is φ = 75778560.

The previous prime is 255579971. The next prime is 255580021. The reversal of 255579984 is 489975552.

255579984 is a `hidden beast` number, since 2 + 5 + 557 + 9 + 9 + 84 = 666.

It is a super-2 number, since 2×255579984² = 130642256442880512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 255579984.

It is a congruent number.

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, 72732 + ... + 76164.

Almost surely, 2^255579984 is an apocalyptic number.

255579984 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 255579984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398563776).

255579984 is an abundant number, since it is smaller than the sum of its proper divisors (541547568).

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

255579984 is a wasteful number, since it uses less digits than its factorization.

255579984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3496 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 255579984 is about 15986.8691118680. The cubic root of 255579984 is about 634.6129734920.

The spelling of 255579984 in words is "two hundred fifty-five million, five hundred seventy-nine thousand, nine hundred eighty-four".