408312 has 48 divisors (see below), whose sum is σ = 1137240. Its totient is φ = 132288.

The previous prime is 408311. The next prime is 408337. The reversal of 408312 is 213804.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3763 + ... + 3869.

2⁴⁰⁸³¹² 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 408312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568620).

408312 is an abundant number, since it is smaller than the sum of its proper divisors (728928).

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

408312 is a wasteful number, since it uses less digits than its factorization.

408312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 408312 is about 638.9929577077. The cubic root of 408312 is about 74.1874962887.

It can be divided in two parts, 4083 and 12, that added together give a triangular number (4095 = T₉₀).

The spelling of 408312 in words is "four hundred eight thousand, three hundred twelve".