406336 has 28 divisors (see below), whose sum is σ = 922528. Its totient is φ = 173952.

The previous prime is 406331. The next prime is 406339. The reversal of 406336 is 633604.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406331) by changing a digit.

406336 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 3 ways as a sum of consecutive naturals, for example, 6 + ... + 901.

2⁴⁰⁶³³⁶ 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 406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461264).

406336 is an abundant number, since it is smaller than the sum of its proper divisors (516192).

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

406336 is an equidigital number, since it uses as much as digits as its factorization.

406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 406336 is about 637.4448995796. Note that the first 3 decimals coincide. The cubic root of 406336 is about 74.0676274884.

The spelling of 406336 in words is "four hundred six thousand, three hundred thirty-six".