320413440 has 144 divisors (see below), whose sum is σ = 1031206176. Its totient is φ = 84787200.

The previous prime is 320413409. The next prime is 320413453. The reversal of 320413440 is 44314023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694810 + ... + 695270.

It is an arithmetic number, because the mean of its divisors is an integer number (7161154).

Almost surely, 2^320413440 is an apocalyptic number.

320413440 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 320413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515603088).

320413440 is an abundant number, since it is smaller than the sum of its proper divisors (710792736).

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

320413440 is a wasteful number, since it uses less digits than its factorization.

320413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 320413440 is about 17900.0960891276. The cubic root of 320413440 is about 684.2848237558.

Adding to 320413440 its reverse (44314023), we get a palindrome (364727463).

The spelling of 320413440 in words is "three hundred twenty million, four hundred thirteen thousand, four hundred forty".