320044401 has 24 divisors (see below), whose sum is σ = 476821800. Its totient is φ = 206726400.

The previous prime is 320044393. The next prime is 320044409. The reversal of 320044401 is 104440023.

It is an interprime number because it is at equal distance from previous prime (320044393) and next prime (320044409).

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 316804401 = 1800^2 + 17799^2 .

It is not a de Polignac number, because 320044401 - 2³ = 320044393 is a prime.

It is a super-2 number, since 2×320044401² = 204856837222897602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320044409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52071 + ... + 57891.

It is an arithmetic number, because the mean of its divisors is an integer number (19867575).

Almost surely, 2^320044401 is an apocalyptic number.

It is an amenable number.

320044401 is a deficient number, since it is larger than the sum of its proper divisors (156777399).

320044401 is a wasteful number, since it uses less digits than its factorization.

320044401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6014 counting only the distinct ones).

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

The square root of 320044401 is about 17889.7848226299. The cubic root of 320044401 is about 684.0220124751.

Adding to 320044401 its reverse (104440023), we get a palindrome (424484424).

The spelling of 320044401 in words is "three hundred twenty million, forty-four thousand, four hundred one".