406896 has 60 divisors (see below), whose sum is σ = 1229832. Its totient is φ = 115584.

The previous prime is 406883. The next prime is 406907. The reversal of 406896 is 698604.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

406896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2266 + ... + 2438.

2⁴⁰⁶⁸⁹⁶ 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 406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614916).

406896 is an abundant number, since it is smaller than the sum of its proper divisors (822936).

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

406896 is a wasteful number, since it uses less digits than its factorization.

406896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 406896 is about 637.8840019941. The cubic root of 406896 is about 74.1016377914.

The spelling of 406896 in words is "four hundred six thousand, eight hundred ninety-six".