224048430 has 96 divisors (see below), whose sum is σ = 609414624. Its totient is φ = 59222016.

The previous prime is 224048371. The next prime is 224048441. The reversal of 224048430 is 34840422.

It is a happy number.

224048430 is a `hidden beast` number, since 224 + 0 + 4 + 8 + 430 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224048394 and 224048403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332574 + ... + 333246.

It is an arithmetic number, because the mean of its divisors is an integer number (6348069).

Almost surely, 2^224048430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224048430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304707312).

224048430 is an abundant number, since it is smaller than the sum of its proper divisors (385366194).

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

224048430 is a wasteful number, since it uses less digits than its factorization.

224048430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

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

The square root of 224048430 is about 14968.2473923970. The cubic root of 224048430 is about 607.3615596747.

Adding to 224048430 its reverse (34840422), we get a palindrome (258888852).

The spelling of 224048430 in words is "two hundred twenty-four million, forty-eight thousand, four hundred thirty".