224378496 has 192 divisors, whose sum is σ = 684003840. Its totient is φ = 70502400.

The previous prime is 224378489. The next prime is 224378507. The reversal of 224378496 is 694873422.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2178381 + ... + 2178483.

It is an arithmetic number, because the mean of its divisors is an integer number (3562520).

Almost surely, 2^224378496 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 224378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342001920).

224378496 is an abundant number, since it is smaller than the sum of its proper divisors (459625344).

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

224378496 is a wasteful number, since it uses less digits than its factorization.

224378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 224378496 is about 14979.2688740138. The cubic root of 224378496 is about 607.6596664097.

The spelling of 224378496 in words is "two hundred twenty-four million, three hundred seventy-eight thousand, four hundred ninety-six".