224400321 has 32 divisors (see below), whose sum is σ = 339073920. Its totient is φ = 146644992.

The previous prime is 224400311. The next prime is 224400367. The reversal of 224400321 is 123004422.

It is not a de Polignac number, because 224400321 - 2⁹ = 224399809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224400294 and 224400303.

It is not an unprimeable number, because it can be changed into a prime (224400311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506326 + ... + 506768.

It is an arithmetic number, because the mean of its divisors is an integer number (10596060).

Almost surely, 2^224400321 is an apocalyptic number.

It is an amenable number.

224400321 is a deficient number, since it is larger than the sum of its proper divisors (114673599).

224400321 is a wasteful number, since it uses less digits than its factorization.

224400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224400321 is about 14979.9973631506. The cubic root of 224400321 is about 607.6793678554.

Adding to 224400321 its reverse (123004422), we get a palindrome (347404743).

The spelling of 224400321 in words is "two hundred twenty-four million, four hundred thousand, three hundred twenty-one".