224441424 has 120 divisors (see below), whose sum is σ = 653530592. Its totient is φ = 71850240.

The previous prime is 224441407. The next prime is 224441431. The reversal of 224441424 is 424144422.

224441424 is a `hidden beast` number, since 2 + 244 + 414 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 414594 + ... + 415134.

Almost surely, 2^224441424 is an apocalyptic number.

224441424 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 224441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326765296).

224441424 is an abundant number, since it is smaller than the sum of its proper divisors (429089168).

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

224441424 is a wasteful number, since it uses less digits than its factorization.

224441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 224441424 is about 14981.3692298134. The cubic root of 224441424 is about 607.7164680997.

Adding to 224441424 its reverse (424144422), we get a palindrome (648585846).

The spelling of 224441424 in words is "two hundred twenty-four million, four hundred forty-one thousand, four hundred twenty-four".