224448640 has 128 divisors (see below), whose sum is σ = 589906800. Its totient is φ = 81149952.

The previous prime is 224448619. The next prime is 224448677. The reversal of 224448640 is 46844422.

It can be written as a sum of positive squares in 8 ways, for example, as 116122176 + 108326464 = 10776^2 + 10408^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 224448596 and 224448605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440706 + ... + 441214.

Almost surely, 2^224448640 is an apocalyptic number.

224448640 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 224448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294953400).

224448640 is an abundant number, since it is smaller than the sum of its proper divisors (365458160).

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

224448640 is a wasteful number, since it uses less digits than its factorization.

224448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 224448640 is about 14981.6100603373. The cubic root of 224448640 is about 607.7229809126.

The spelling of 224448640 in words is "two hundred twenty-four million, four hundred forty-eight thousand, six hundred forty".