280824 has 16 divisors (see below), whose sum is σ = 702120. Its totient is φ = 93600.

The previous prime is 280817. The next prime is 280837. The reversal of 280824 is 428082.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 11701 = 280824 / (2 + 8 + 0 + 8 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 280794 and 280803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280824.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5827 + ... + 5874.

2²⁸⁰⁸²⁴ is an apocalyptic number.

280824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

280824 is an abundant number, since it is smaller than the sum of its proper divisors (421296).

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

280824 is a wasteful number, since it uses less digits than its factorization.

280824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 280824 is about 529.9282970365. The cubic root of 280824 is about 65.4854385594.

The spelling of 280824 in words is "two hundred eighty thousand, eight hundred twenty-four".