280360 has 32 divisors (see below), whose sum is σ = 649440. Its totient is φ = 108864.

The previous prime is 280351. The next prime is 280373. The reversal of 280360 is 63082.

280360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

280360 is a modest number, since divided by 360 gives 280 as remainder.

It is an unprimeable number.

280360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1639 + ... + 1801.

It is an arithmetic number, because the mean of its divisors is an integer number (20295).

2²⁸⁰³⁶⁰ is an apocalyptic number.

280360 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 280360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324720).

280360 is an abundant number, since it is smaller than the sum of its proper divisors (369080).

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

280360 is a wasteful number, since it uses less digits than its factorization.

280360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 280360 is about 529.4903209691. The cubic root of 280360 is about 65.4493519074.

The spelling of 280360 in words is "two hundred eighty thousand, three hundred sixty".