320408 has 24 divisors (see below), whose sum is σ = 662340. Its totient is φ = 145200.

The previous prime is 320401. The next prime is 320417. The reversal of 320408 is 804023.

It is a super-2 number, since 2×320408² = 205322572928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 803 + ... + 1133.

2³²⁰⁴⁰⁸ 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 320408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331170).

320408 is an abundant number, since it is smaller than the sum of its proper divisors (341932).

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

320408 is a wasteful number, since it uses less digits than its factorization.

320408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 320408 is about 566.0459345318. The cubic root of 320408 is about 68.4280951123.

The spelling of 320408 in words is "three hundred twenty thousand, four hundred eight".