408114 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 112320.

The previous prime is 408091. The next prime is 408127. The reversal of 408114 is 411804.

408114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

408114 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 23 ways as a sum of consecutive naturals, for example, 5127 + ... + 5205.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁴⁰⁸¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

408114 is an abundant number, since it is smaller than the sum of its proper divisors (640206).

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

408114 is a wasteful number, since it uses less digits than its factorization.

408114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 408114 is about 638.8380076357. The cubic root of 408114 is about 74.1755026014.

Adding to 408114 its reverse (411804), we get a palindrome (819918).

It can be divided in two parts, 4081 and 14, that added together give a triangular number (4095 = T₉₀).

The spelling of 408114 in words is "four hundred eight thousand, one hundred fourteen".