320002400 has 72 divisors (see below), whose sum is σ = 784637280. Its totient is φ = 127439360.

The previous prime is 320002399. The next prime is 320002409. The reversal of 320002400 is 4200023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320002409) 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, 214457 + ... + 215943.

It is an arithmetic number, because the mean of its divisors is an integer number (10897740).

Almost surely, 2^320002400 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 320002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392318640).

320002400 is an abundant number, since it is smaller than the sum of its proper divisors (464634880).

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

320002400 is a wasteful number, since it uses less digits than its factorization.

320002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 320002400 is about 17888.6109019119. The cubic root of 320002400 is about 683.9920886424.

Adding to 320002400 its reverse (4200023), we get a palindrome (324202423).

The spelling of 320002400 in words is "three hundred twenty million, two thousand, four hundred".