406208 has 28 divisors (see below), whose sum is σ = 880872. Its totient is φ = 184320.

The previous prime is 406207. The next prime is 406247. The reversal of 406208 is 802604.

It is a self number, because there is not a number n which added to its sum of digits gives 406208.

It is not an unprimeable number, because it can be changed into a prime (406207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416 + ... + 992.

2⁴⁰⁶²⁰⁸ 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 406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440436).

406208 is an abundant number, since it is smaller than the sum of its proper divisors (474664).

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

406208 is a wasteful number, since it uses less digits than its factorization.

406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 406208 is about 637.3444908368. The cubic root of 406208 is about 74.0598493179.

It can be divided in two parts, 406 and 208, that multiplied together give a palindrome (84448).

The spelling of 406208 in words is "four hundred six thousand, two hundred eight".