224304474240 has 768 divisors, whose sum is σ = 1001493642240. Its totient is φ = 46606233600.

The previous prime is 224304474227. The next prime is 224304474311. The reversal of 224304474240 is 42474403422.

224304474240 is a `hidden beast` number, since 224 + 3 + 0 + 4 + 4 + 7 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224304474195 and 224304474204.

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, 11965675 + ... + 11984405.

It is an arithmetic number, because the mean of its divisors is an integer number (1304028180).

Almost surely, 2^224304474240 is an apocalyptic number.

224304474240 is a gapful number since it is divisible by the number (20) 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 224304474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500746821120).

224304474240 is an abundant number, since it is smaller than the sum of its proper divisors (777189168000).

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

224304474240 is a wasteful number, since it uses less digits than its factorization.

224304474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18783 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

Adding to 224304474240 its reverse (42474403422), we get a palindrome (266778877662).

The spelling of 224304474240 in words is "two hundred twenty-four billion, three hundred four million, four hundred seventy-four thousand, two hundred forty".