224411440 has 120 divisors (see below), whose sum is σ = 581837760. Its totient is φ = 80424960.

The previous prime is 224411423. The next prime is 224411459. The reversal of 224411440 is 44114422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938841 + ... + 939079.

It is an arithmetic number, because the mean of its divisors is an integer number (4848648).

Almost surely, 2^224411440 is an apocalyptic number.

224411440 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 224411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

224411440 is an abundant number, since it is smaller than the sum of its proper divisors (357426320).

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

224411440 is a wasteful number, since it uses less digits than its factorization.

224411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 224411440 is about 14980.3684867896. The cubic root of 224411440 is about 607.6894044948.

Adding to 224411440 its reverse (44114422), we get a palindrome (268525862).

It can be divided in two parts, 2 and 24411440, that added together give a palindrome (24411442).

The spelling of 224411440 in words is "two hundred twenty-four million, four hundred eleven thousand, four hundred forty".