224460324 has 81 divisors (see below), whose sum is σ = 626414971. Its totient is φ = 67718640.

The previous prime is 224460307. The next prime is 224460329. The reversal of 224460324 is 423064422.

The square root of 224460324 is 14982.

It is a perfect power (a square), and thus also a powerful number.

224460324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224460329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 988699 + ... + 988925.

Almost surely, 2^224460324 is an apocalyptic number.

224460324 is the 14982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224460324

224460324 is an abundant number, since it is smaller than the sum of its proper divisors (401954647).

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

224460324 is a wasteful number, since it uses less digits than its factorization.

224460324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The cubic root of 224460324 is about 607.7335260305.

Multiplying 224460324 by its product of nonzero digits (9216), we get a square (2068626345984 = 1438272²).

The spelling of 224460324 in words is "two hundred twenty-four million, four hundred sixty thousand, three hundred twenty-four".