240224320 has 56 divisors (see below), whose sum is σ = 653759424. Its totient is φ = 82361856.

The previous prime is 240224293. The next prime is 240224321. The reversal of 240224320 is 23422042.

240224320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (240224321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51382 + ... + 55861.

Almost surely, 2^240224320 is an apocalyptic number.

240224320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240224320 is an abundant number, since it is smaller than the sum of its proper divisors (413535104).

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

240224320 is a wasteful number, since it uses less digits than its factorization.

240224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107267 (or 107257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 240224320 is about 15499.1715907657. The cubic root of 240224320 is about 621.6400560101.

Adding to 240224320 its reverse (23422042), we get a palindrome (263646362).

The spelling of 240224320 in words is "two hundred forty million, two hundred twenty-four thousand, three hundred twenty".