406164 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 115200.

The previous prime is 406123. The next prime is 406169. The reversal of 406164 is 461604.

406164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 406164.

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 406164.

It is not an unprimeable number, because it can be changed into a prime (406169) by changing a digit.

406164 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 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴⁰⁶¹⁶⁴ is an apocalyptic number.

406164 is a gapful number since it is divisible by the number (44) 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 406164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

406164 is an abundant number, since it is smaller than the sum of its proper divisors (694572).

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

406164 is a wasteful number, since it uses less digits than its factorization.

406164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406164 is about 637.3099716778. The cubic root of 406164 is about 74.0571751945.

Adding to 406164 its reverse (461604), we get a palindrome (867768).

The spelling of 406164 in words is "four hundred six thousand, one hundred sixty-four".