255811920 has 480 divisors, whose sum is σ = 1058717952. Its totient is φ = 49840128.

The previous prime is 255811901. The next prime is 255811949. The reversal of 255811920 is 29118552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4826614 + ... + 4826666.

Almost surely, 2^255811920 is an apocalyptic number.

255811920 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 255811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529358976).

255811920 is an abundant number, since it is smaller than the sum of its proper divisors (802906032).

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

255811920 is a wasteful number, since it uses less digits than its factorization.

255811920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 255811920 is about 15994.1214200718. The cubic root of 255811920 is about 634.8048835292.

It can be divided in two parts, 255 and 811920, that added together give a triangular number (812175 = T₁₂₇₄).

The spelling of 255811920 in words is "two hundred fifty-five million, eight hundred eleven thousand, nine hundred twenty".