224045440 has 64 divisors (see below), whose sum is σ = 537935760. Its totient is φ = 89229312.

The previous prime is 224045429. The next prime is 224045441. The reversal of 224045440 is 44540422.

It is a happy number.

224045440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224045441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180502 + ... + 181738.

Almost surely, 2^224045440 is an apocalyptic number.

224045440 is a gapful number since it is divisible by the number (20) 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 224045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268967880).

224045440 is an abundant number, since it is smaller than the sum of its proper divisors (313890320).

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

224045440 is a wasteful number, since it uses less digits than its factorization.

224045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 224045440 is about 14968.1475139711. The cubic root of 224045440 is about 607.3588578494.

Adding to 224045440 its reverse (44540422), we get a palindrome (268585862).

The spelling of 224045440 in words is "two hundred twenty-four million, forty-five thousand, four hundred forty".