406812 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 111552.

The previous prime is 406811. The next prime is 406817. The reversal of 406812 is 218604.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 406812.

It is not an unprimeable number, because it can be changed into a prime (406811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2353 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁴⁰⁶⁸¹² is an apocalyptic number.

406812 is a gapful number since it is divisible by the number (42) 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 406812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

406812 is an abundant number, since it is smaller than the sum of its proper divisors (722148).

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

406812 is a wasteful number, since it uses less digits than its factorization.

406812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 406812 is about 637.8181559034. The cubic root of 406812 is about 74.0965382361.

The spelling of 406812 in words is "four hundred six thousand, eight hundred twelve".