280364 has 48 divisors (see below), whose sum is σ = 645120. Its totient is φ = 103680.

The previous prime is 280351. The next prime is 280373. The reversal of 280364 is 463082.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280364.

It is an unprimeable number.

280364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9029 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2²⁸⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

280364 is an abundant number, since it is smaller than the sum of its proper divisors (364756).

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

280364 is a wasteful number, since it uses less digits than its factorization.

280364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 280364 is about 529.4940981730. The cubic root of 280364 is about 65.4496631693.

The spelling of 280364 in words is "two hundred eighty thousand, three hundred sixty-four".