224205456 has 80 divisors (see below), whose sum is σ = 591926400. Its totient is φ = 73113600.

The previous prime is 224205391. The next prime is 224205461. The reversal of 224205456 is 654502422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499120 + ... + 499568.

It is an arithmetic number, because the mean of its divisors is an integer number (7399080).

Almost surely, 2^224205456 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 224205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

224205456 is an abundant number, since it is smaller than the sum of its proper divisors (367720944).

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

224205456 is a wasteful number, since it uses less digits than its factorization.

224205456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 224205456 is about 14973.4917771374. The cubic root of 224205456 is about 607.5034178202.

Adding to 224205456 its reverse (654502422), we get a palindrome (878707878).

The spelling of 224205456 in words is "two hundred twenty-four million, two hundred five thousand, four hundred fifty-six".