280224 has 72 divisors (see below), whose sum is σ = 917280.
Its totient is φ = 79488.
The previous prime is 280223. The next prime is 280229. The reversal of 280224 is 422082.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 280197 and 280206.
It is not an unprimeable number, because it can be changed into a prime (280223) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 2085.
It is an arithmetic number, because the mean of its divisors is an integer number (12740).
2280224 is an apocalyptic number.
280224 is a gapful number since it is divisible by the number (24) 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 280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).
280224 is an abundant number, since it is smaller than the sum of its proper divisors (637056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
280224 is a wasteful number, since it uses less digits than its factorization.
280224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 151 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 280224 is about 529.3618800027.
The cubic root of 280224 is about 65.4387672406.
The spelling of 280224 in words is "two hundred eighty thousand, two hundred twenty-four".