224320404 has 96 divisors (see below), whose sum is σ = 659183616. Its totient is φ = 57674880.

The previous prime is 224320399. The next prime is 224320409. The reversal of 224320404 is 404023422.

It is an interprime number because it is at equal distance from previous prime (224320399) and next prime (224320409).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224320409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93994 + ... + 96350.

It is an arithmetic number, because the mean of its divisors is an integer number (6866496).

Almost surely, 2^224320404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329591808).

224320404 is an abundant number, since it is smaller than the sum of its proper divisors (434863212).

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

224320404 is a wasteful number, since it uses less digits than its factorization.

224320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 224320404 is about 14977.3296685357. The cubic root of 224320404 is about 607.6072204864.

Adding to 224320404 its reverse (404023422), we get a palindrome (628343826).

The spelling of 224320404 in words is "two hundred twenty-four million, three hundred twenty thousand, four hundred four".