406116 has 36 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 130368.

The previous prime is 406093. The next prime is 406117. The reversal of 406116 is 611604.

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 254016 = 390^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (406117) by changing a digit.

406116 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, 850 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (29575).

2⁴⁰⁶¹¹⁶ 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 406116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532350).

406116 is an abundant number, since it is smaller than the sum of its proper divisors (658584).

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

406116 is a wasteful number, since it uses less digits than its factorization.

406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 406116 is about 637.2723122810. The cubic root of 406116 is about 74.0542577486.

The spelling of 406116 in words is "four hundred six thousand, one hundred sixteen".