224844984 has 384 divisors, whose sum is σ = 821882880. Its totient is φ = 55987200.

The previous prime is 224844937. The next prime is 224845021. The reversal of 224844984 is 489448422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5484004 + ... + 5484044.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^224844984 is an apocalyptic number.

224844984 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 224844984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410941440).

224844984 is an abundant number, since it is smaller than the sum of its proper divisors (597037896).

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

224844984 is a wasteful number, since it uses less digits than its factorization.

224844984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 224844984 is about 14994.8319096948. The cubic root of 224844984 is about 608.0804876709.

The spelling of 224844984 in words is "two hundred twenty-four million, eight hundred forty-four thousand, nine hundred eighty-four".