406308 has 36 divisors (see below), whose sum is σ = 1104432. Its totient is φ = 115920.

The previous prime is 406271. The next prime is 406309. The reversal of 406308 is 803604.

406308 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 (21).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (406309) by changing a digit.

406308 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 11 ways as a sum of consecutive naturals, for example, 243 + ... + 933.

2⁴⁰⁶³⁰⁸ 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 406308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552216).

406308 is an abundant number, since it is smaller than the sum of its proper divisors (698124).

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

406308 is a wasteful number, since it uses less digits than its factorization.

406308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406308 is about 637.4229365186. The cubic root of 406308 is about 74.0659261532.

The spelling of 406308 in words is "four hundred six thousand, three hundred eight".