224904 has 16 divisors (see below), whose sum is σ = 562320. Its totient is φ = 74960.

The previous prime is 224897. The next prime is 224909. The reversal of 224904 is 409422.

224904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4662 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (35145).

2²²⁴⁹⁰⁴ is an apocalyptic number.

224904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224904 is an abundant number, since it is smaller than the sum of its proper divisors (337416).

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

224904 is a wasteful number, since it uses less digits than its factorization.

224904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9376 counting only the distinct ones).

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

The square root of 224904 is about 474.2404453439. The cubic root of 224904 is about 60.8133684823.

It can be divided in two parts, 224 and 904, that added together give a triangular number (1128 = T₄₇).

The spelling of 224904 in words is "two hundred twenty-four thousand, nine hundred four".