255382120 has 96 divisors (see below), whose sum is σ = 691626600. Its totient is φ = 84521472.

The previous prime is 255382093. The next prime is 255382139. The reversal of 255382120 is 21283552.

255382120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 253382724 + 1999396 = 15918^2 + 1414^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54594 + ... + 59086.

Almost surely, 2^255382120 is an apocalyptic number.

255382120 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 255382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345813300).

255382120 is an abundant number, since it is smaller than the sum of its proper divisors (436244480).

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

255382120 is a wasteful number, since it uses less digits than its factorization.

255382120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 255382120 is about 15980.6795850489. The cubic root of 255382120 is about 634.4491637431.

It can be divided in two parts, 255 and 382120, that added together give a triangular number (382375 = T₈₇₄).

The spelling of 255382120 in words is "two hundred fifty-five million, three hundred eighty-two thousand, one hundred twenty".