224322480 has 320 divisors, whose sum is σ = 843696000. Its totient is φ = 54558720.

The previous prime is 224322467. The next prime is 224322481. The reversal of 224322480 is 84223422.

It is a super-3 number, since 3×224322480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224322481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505446 + ... + 1505594.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^224322480 is an apocalyptic number.

224322480 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 224322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848000).

224322480 is an abundant number, since it is smaller than the sum of its proper divisors (619373520).

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

224322480 is a wasteful number, since it uses less digits than its factorization.

224322480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224322480 is about 14977.3989731195. The cubic root of 224322480 is about 607.6090948718.

The spelling of 224322480 in words is "two hundred twenty-four million, three hundred twenty-two thousand, four hundred eighty".