320044144 has 80 divisors (see below), whose sum is σ = 725953536. Its totient is φ = 133862400.

The previous prime is 320044139. The next prime is 320044147. The reversal of 320044144 is 441440023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320044147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327864 + ... + 1328104.

Almost surely, 2^320044144 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 320044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362976768).

320044144 is an abundant number, since it is smaller than the sum of its proper divisors (405909392).

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

320044144 is a wasteful number, since it uses less digits than its factorization.

320044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 320044144 is about 17889.7776397584. Note that the first 3 decimals coincide. The cubic root of 320044144 is about 684.0218293821.

Adding to 320044144 its reverse (441440023), we get a palindrome (761484167).

The spelling of 320044144 in words is "three hundred twenty million, forty-four thousand, one hundred forty-four".