320400441 has 10 divisors (see below), whose sum is σ = 478623002. Its totient is φ = 213600240.

The previous prime is 320400433. The next prime is 320400467. The reversal of 320400441 is 144004023.

It can be written as a sum of positive squares in only one way, i.e., 282946041 + 37454400 = 16821^2 + 6120^2 .

It is not a de Polignac number, because 320400441 - 2³ = 320400433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320400491) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1977700 + ... + 1977861.

Almost surely, 2^320400441 is an apocalyptic number.

It is an amenable number.

320400441 is a deficient number, since it is larger than the sum of its proper divisors (158222561).

320400441 is an equidigital number, since it uses as much as digits as its factorization.

320400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955573 (or 3955564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320400441 is about 17899.7329868353. The cubic root of 320400441 is about 684.2755699422.

Adding to 320400441 its reverse (144004023), we get a palindrome (464404464).

The spelling of 320400441 in words is "three hundred twenty million, four hundred thousand, four hundred forty-one".