224434440 has 96 divisors (see below), whose sum is σ = 735134400. Its totient is φ = 59379840.

The previous prime is 224434439. The next prime is 224434477. The reversal of 224434440 is 44434422.

It is a happy number.

224434440 is a `hidden beast` number, since 224 + 434 + 4 + 4 + 0 = 666.

224434440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224434440² = 100741635716227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44781 + ... + 49539.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^224434440 is an apocalyptic number.

224434440 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 224434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367567200).

224434440 is an abundant number, since it is smaller than the sum of its proper divisors (510699960).

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

224434440 is a wasteful number, since it uses less digits than its factorization.

224434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 224434440 is about 14981.1361384910. The cubic root of 224434440 is about 607.7101645458.

Adding to 224434440 its reverse (44434422), we get a palindrome (268868862).

The spelling of 224434440 in words is "two hundred twenty-four million, four hundred thirty-four thousand, four hundred forty".