409122 has 48 divisors (see below), whose sum is σ = 1078272. Its totient is φ = 109440.

The previous prime is 409121. The next prime is 409153. The reversal of 409122 is 221904.

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

It is a junction number, because it is equal to n+sod(n) for n = 409095 and 409104.

It is not an unprimeable number, because it can be changed into a prime (409121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2047 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (22464).

2⁴⁰⁹¹²² is an apocalyptic number.

409122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 409122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136).

409122 is an abundant number, since it is smaller than the sum of its proper divisors (669150).

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

409122 is a wasteful number, since it uses less digits than its factorization.

409122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

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

The square root of 409122 is about 639.6264534867. The cubic root of 409122 is about 74.2365210372.

The spelling of 409122 in words is "four hundred nine thousand, one hundred twenty-two".