320340400 has 60 divisors (see below), whose sum is σ = 781169992. Its totient is φ = 126213120.

The previous prime is 320340353. The next prime is 320340407. The reversal of 320340400 is 4043023.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (320340407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20824 + ... + 32776.

Almost surely, 2^320340400 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 320340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390584996).

320340400 is an abundant number, since it is smaller than the sum of its proper divisors (460829592).

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

320340400 is a wasteful number, since it uses less digits than its factorization.

320340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320340400 is about 17898.0557603333. The cubic root of 320340400 is about 684.2328243122.

Adding to 320340400 its reverse (4043023), we get a palindrome (324383423).

The spelling of 320340400 in words is "three hundred twenty million, three hundred forty thousand, four hundred".