406168 has 16 divisors (see below), whose sum is σ = 870480. Its totient is φ = 174048.

The previous prime is 406123. The next prime is 406169. The reversal of 406168 is 861604.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406169) 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, 3571 + ... + 3682.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

2⁴⁰⁶¹⁶⁸ is an apocalyptic number.

It is an amenable number.

406168 is an abundant number, since it is smaller than the sum of its proper divisors (464312).

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

406168 is a wasteful number, since it uses less digits than its factorization.

406168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 406168 is about 637.3131098605. The cubic root of 406168 is about 74.0574183046.

The spelling of 406168 in words is "four hundred six thousand, one hundred sixty-eight".