224442460 has 48 divisors (see below), whose sum is σ = 515525472. Its totient is φ = 81401600.

The previous prime is 224442457. The next prime is 224442461. The reversal of 224442460 is 64244422.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224442461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100314 + ... + 102526.

It is an arithmetic number, because the mean of its divisors is an integer number (10740114).

Almost surely, 2^224442460 is an apocalyptic number.

224442460 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 224442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257762736).

224442460 is an abundant number, since it is smaller than the sum of its proper divisors (291083012).

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

224442460 is a wasteful number, since it uses less digits than its factorization.

224442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 224442460 is about 14981.4038060524. The cubic root of 224442460 is about 607.7174031518.

Adding to 224442460 its reverse (64244422), we get a palindrome (288686882).

The spelling of 224442460 in words is "two hundred twenty-four million, four hundred forty-two thousand, four hundred sixty".