224080416 has 144 divisors (see below), whose sum is σ = 746299008. Its totient is φ = 62438400.

The previous prime is 224080411. The next prime is 224080427. The reversal of 224080416 is 614080422.

224080416 is a `hidden beast` number, since 2 + 240 + 8 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 224080416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224080411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81301 + ... + 84011.

It is an arithmetic number, because the mean of its divisors is an integer number (5182632).

Almost surely, 2^224080416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373149504).

224080416 is an abundant number, since it is smaller than the sum of its proper divisors (522218592).

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

224080416 is a wasteful number, since it uses less digits than its factorization.

224080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 224080416 is about 14969.3158160285. The cubic root of 224080416 is about 607.3904613761.

The spelling of 224080416 in words is "two hundred twenty-four million, eighty thousand, four hundred sixteen".