255925824 has 168 divisors, whose sum is σ = 859645728. Its totient is φ = 66447360.

The previous prime is 255925799. The next prime is 255925843. The reversal of 255925824 is 428529552.

255925824 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 102252 + ... + 104724.

Almost surely, 2^255925824 is an apocalyptic number.

255925824 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 255925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429822864).

255925824 is an abundant number, since it is smaller than the sum of its proper divisors (603719904).

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

255925824 is a wasteful number, since it uses less digits than its factorization.

255925824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 255925824 is about 15997.6818320655. The cubic root of 255925824 is about 634.8990882692.

The spelling of 255925824 in words is "two hundred fifty-five million, nine hundred twenty-five thousand, eight hundred twenty-four".