408331 has 8 divisors (see below), whose sum is σ = 509184. Its totient is φ = 318120.

The previous prime is 408311. The next prime is 408337. The reversal of 408331 is 133804.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 408331 - 2⁷ = 408203 is a prime.

It is a super-2 number, since 2×408331² = 333468411122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 408299 and 408308.

It is not an unprimeable number, because it can be changed into a prime (408337) 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, 2575 + ... + 2728.

It is an arithmetic number, because the mean of its divisors is an integer number (63648).

2⁴⁰⁸³³¹ is an apocalyptic number.

408331 is a deficient number, since it is larger than the sum of its proper divisors (100853).

408331 is a wasteful number, since it uses less digits than its factorization.

408331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 408331 is about 639.0078246782. The cubic root of 408331 is about 74.1886469941.

It can be divided in two parts, 4083 and 31, that added together give a palindrome (4114).

The spelling of 408331 in words is "four hundred eight thousand, three hundred thirty-one".