224403680 has 96 divisors (see below), whose sum is σ = 564550560. Its totient is φ = 84049920.

The previous prime is 224403659. The next prime is 224403721. The reversal of 224403680 is 86304422.

It is a congruent number.

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, 294500 + ... + 295260.

It is an arithmetic number, because the mean of its divisors is an integer number (5880735).

Almost surely, 2^224403680 is an apocalyptic number.

224403680 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 224403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282275280).

224403680 is an abundant number, since it is smaller than the sum of its proper divisors (340146880).

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

224403680 is a wasteful number, since it uses less digits than its factorization.

224403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 224403680 is about 14980.1094789057. The cubic root of 224403680 is about 607.6823999141.

The spelling of 224403680 in words is "two hundred twenty-four million, four hundred three thousand, six hundred eighty".