224407385280 has 448 divisors, whose sum is σ = 854293440000. Its totient is φ = 55126241280.

The previous prime is 224407385273. The next prime is 224407385333. The reversal of 224407385280 is 82583704422.

224407385280 is a `hidden beast` number, since 2 + 244 + 0 + 7 + 385 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64132971 + ... + 64136469.

It is an arithmetic number, because the mean of its divisors is an integer number (1906905000).

Almost surely, 2^224407385280 is an apocalyptic number.

224407385280 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 224407385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427146720000).

224407385280 is an abundant number, since it is smaller than the sum of its proper divisors (629886054720).

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

224407385280 is a wasteful number, since it uses less digits than its factorization.

224407385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 224407385280 in words is "two hundred twenty-four billion, four hundred seven million, three hundred eighty-five thousand, two hundred eighty".