281506880 has 28 divisors (see below), whose sum is σ = 670339020. Its totient is φ = 112602624.

The previous prime is 281506847. The next prime is 281506889. The reversal of 281506880 is 88605182.

281506880 is digitally balanced in base 3, 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 2 ways, for example, as 110838784 + 170668096 = 10528^2 + 13064^2 .

It is a super-2 number, since 2×281506880² = 158492246974668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (281506889) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 439535 + ... + 440174.

Almost surely, 2^281506880 is an apocalyptic number.

281506880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281506880 is an abundant number, since it is smaller than the sum of its proper divisors (388832140).

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

281506880 is an equidigital number, since it uses as much as digits as its factorization.

281506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879726 (or 879716 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 281506880 is about 16778.1667651743. The cubic root of 281506880 is about 655.3847592759.

The spelling of 281506880 in words is "two hundred eighty-one million, five hundred six thousand, eight hundred eighty".