224316456 has 128 divisors (see below), whose sum is σ = 694579200. Its totient is φ = 58786560.

The previous prime is 224316439. The next prime is 224316457. The reversal of 224316456 is 654613422.

224316456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224316457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591675 + ... + 592053.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2^224316456 is an apocalyptic number.

224316456 is a gapful number since it is divisible by the number (26) 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 224316456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347289600).

224316456 is an abundant number, since it is smaller than the sum of its proper divisors (470262744).

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

224316456 is a wasteful number, since it uses less digits than its factorization.

224316456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 224316456 is about 14977.1978687604. The cubic root of 224316456 is about 607.6036558718.

Adding to 224316456 its reverse (654613422), we get a palindrome (878929878).

The spelling of 224316456 in words is "two hundred twenty-four million, three hundred sixteen thousand, four hundred fifty-six".