255823920 has 400 divisors, whose sum is σ = 1005748128. Its totient is φ = 59719680.

The previous prime is 255823907. The next prime is 255823921. The reversal of 255823920 is 29328552.

255823920 is a `hidden beast` number, since 25 + 582 + 39 + 20 = 666.

255823920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255823921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2637312 + ... + 2637408.

Almost surely, 2^255823920 is an apocalyptic number.

255823920 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 255823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502874064).

255823920 is an abundant number, since it is smaller than the sum of its proper divisors (749924208).

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

255823920 is a wasteful number, since it uses less digits than its factorization.

255823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255823920 is about 15994.4965535024. The cubic root of 255823920 is about 634.8148094929.

The spelling of 255823920 in words is "two hundred fifty-five million, eight hundred twenty-three thousand, nine hundred twenty".