409812 has 48 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 120960.

The previous prime is 409781. The next prime is 409813. The reversal of 409812 is 218904.

409812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5737 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁴⁰⁹⁸¹² 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 409812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

409812 is an abundant number, since it is smaller than the sum of its proper divisors (662700).

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

409812 is a wasteful number, since it uses less digits than its factorization.

409812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 409812 is about 640.1656035746. The cubic root of 409812 is about 74.2782318471.

It can be divided in two parts, 409 and 812, that added together give a palindrome (1221).

The spelling of 409812 in words is "four hundred nine thousand, eight hundred twelve".