320442240 has 256 divisors, whose sum is σ = 1078686720. Its totient is φ = 80830464.

The previous prime is 320442229. The next prime is 320442247. The reversal of 320442240 is 42244023.

320442240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782687 + ... + 4782753.

It is an arithmetic number, because the mean of its divisors is an integer number (4213620).

Almost surely, 2^320442240 is an apocalyptic number.

320442240 is a gapful number since it is divisible by the number (30) 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 320442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).

320442240 is an abundant number, since it is smaller than the sum of its proper divisors (758244480).

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

320442240 is a wasteful number, since it uses less digits than its factorization.

320442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 320442240 is about 17900.9005360066. The cubic root of 320442240 is about 684.3053251976.

Adding to 320442240 its reverse (42244023), we get a palindrome (362686263).

The spelling of 320442240 in words is "three hundred twenty million, four hundred forty-two thousand, two hundred forty".