224428800 has 108 divisors (see below), whose sum is σ = 740725160. Its totient is φ = 59842560.

The previous prime is 224428783. The next prime is 224428829. The reversal of 224428800 is 8824422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13356 + ... + 25044.

Almost surely, 2^224428800 is an apocalyptic number.

224428800 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 224428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370362580).

224428800 is an abundant number, since it is smaller than the sum of its proper divisors (516296360).

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

224428800 is a wasteful number, since it uses less digits than its factorization.

224428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 224428800 is about 14980.9479005836. The cubic root of 224428800 is about 607.7050739515.

The spelling of 224428800 in words is "two hundred twenty-four million, four hundred twenty-eight thousand, eight hundred".