320440000 has 70 divisors (see below), whose sum is σ = 794686244. Its totient is φ = 128160000.

The previous prime is 320439941. The next prime is 320440019. The reversal of 320440000 is 44023.

320440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 9 ways as a sum of consecutive naturals, for example, 35995 + ... + 44005.

Almost surely, 2^320440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397343122).

320440000 is an abundant number, since it is smaller than the sum of its proper divisors (474246244).

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

320440000 is an frugal number, since it uses more digits than its factorization.

320440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 320440000 is about 17900.8379692125. The cubic root of 320440000 is about 684.3037306851.

Adding to 320440000 its reverse (44023), we get a palindrome (320484023).

The spelling of 320440000 in words is "three hundred twenty million, four hundred forty thousand".