406608 has 40 divisors (see below), whose sum is σ = 1080288. Its totient is φ = 131712.

The previous prime is 406591. The next prime is 406631. The reversal of 406608 is 806604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406608.

It is an unprimeable number.

406608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 2162.

2⁴⁰⁶⁶⁰⁸ is an apocalyptic number.

406608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540144).

406608 is an abundant number, since it is smaller than the sum of its proper divisors (673680).

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

406608 is a wasteful number, since it uses less digits than its factorization.

406608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 406608 is about 637.6582156610. The cubic root of 406608 is about 74.0841506786.

The spelling of 406608 in words is "four hundred six thousand, six hundred eight".