224409 has 16 divisors (see below), whose sum is σ = 327680. Its totient is φ = 136080.

The previous prime is 224401. The next prime is 224423. The reversal of 224409 is 904422.

It is not a de Polignac number, because 224409 - 2³ = 224401 is a prime.

It is a Duffinian number.

224409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (224401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704 + ... + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (20480).

2²²⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

224409 is a deficient number, since it is larger than the sum of its proper divisors (103271).

224409 is a wasteful number, since it uses less digits than its factorization.

224409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 224409 is about 473.7182707053. The cubic root of 224409 is about 60.7687202041.

The spelling of 224409 in words is "two hundred twenty-four thousand, four hundred nine".