320409 has 8 divisors (see below), whose sum is σ = 474720. Its totient is φ = 213588.

The previous prime is 320401. The next prime is 320417. The reversal of 320409 is 904023.

It is an interprime number because it is at equal distance from previous prime (320401) and next prime (320417).

It is not a de Polignac number, because 320409 - 2³ = 320401 is a prime.

320409 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 320391 and 320400.

It is not an unprimeable number, because it can be changed into a prime (320401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907 + ... + 5960.

It is an arithmetic number, because the mean of its divisors is an integer number (59340).

2³²⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

320409 is a deficient number, since it is larger than the sum of its proper divisors (154311).

320409 is a wasteful number, since it uses less digits than its factorization.

320409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320409 is about 566.0468178517. The cubic root of 320409 is about 68.4281663008.

It can be divided in two parts, 320 and 409, that added together give a 6-th power (729 = 3⁶).

The spelling of 320409 in words is "three hundred twenty thousand, four hundred nine".