240079224 has 192 divisors, whose sum is σ = 775820160. Its totient is φ = 61205760.

The previous prime is 240079223. The next prime is 240079247. The reversal of 240079224 is 422970042.

240079224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240079191 and 240079200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240079223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866574 + ... + 866850.

It is an arithmetic number, because the mean of its divisors is an integer number (4040730).

Almost surely, 2^240079224 is an apocalyptic number.

240079224 is a gapful number since it is divisible by the number (24) 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 240079224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387910080).

240079224 is an abundant number, since it is smaller than the sum of its proper divisors (535740936).

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

240079224 is a wasteful number, since it uses less digits than its factorization.

240079224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 240079224 is about 15494.4901174579. The cubic root of 240079224 is about 621.5148734981.

The spelling of 240079224 in words is "two hundred forty million, seventy-nine thousand, two hundred twenty-four".