224398944 has 192 divisors, whose sum is σ = 816238080. Its totient is φ = 58268160.

The previous prime is 224398921. The next prime is 224398961. The reversal of 224398944 is 449893422.

It is a happy number.

224398944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 224398944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64842 + ... + 68214.

It is an arithmetic number, because the mean of its divisors is an integer number (4251240).

Almost surely, 2^224398944 is an apocalyptic number.

224398944 is a gapful number since it is divisible by the number (24) 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 224398944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408119040).

224398944 is an abundant number, since it is smaller than the sum of its proper divisors (591839136).

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

224398944 is a wasteful number, since it uses less digits than its factorization.

224398944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3396 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 224398944 is about 14979.9514017903. The cubic root of 224398944 is about 607.6781248741.

The spelling of 224398944 in words is "two hundred twenty-four million, three hundred ninety-eight thousand, nine hundred forty-four".