408208 has 20 divisors (see below), whose sum is σ = 817408. Its totient is φ = 197280.

The previous prime is 408203. The next prime is 408209. The reversal of 408208 is 802804.

408208 is an admirable number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (408203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 907.

2⁴⁰⁸²⁰⁸ 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 408208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408704).

408208 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

408208 is a wasteful number, since it uses less digits than its factorization.

408208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 408208 is about 638.9115744765. The cubic root of 408208 is about 74.1811970577.

It can be divided in two parts, 408 and 208, that added together give a palindrome (616).

The spelling of 408208 in words is "four hundred eight thousand, two hundred eight".