406404306 has 48 divisors (see below), whose sum is σ = 1097823168. Its totient is φ = 105559200.

The previous prime is 406404293. The next prime is 406404307. The reversal of 406404306 is 603404604.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 406404306.

It is not an unprimeable number, because it can be changed into a prime (406404307) 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, 145225 + ... + 147996.

It is an arithmetic number, because the mean of its divisors is an integer number (22871316).

Almost surely, 2^406404306 is an apocalyptic number.

406404306 is an abundant number, since it is smaller than the sum of its proper divisors (691418862).

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

406404306 is a wasteful number, since it uses less digits than its factorization.

406404306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293247 (or 293244 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406404306 is about 20159.4718680823. The cubic root of 406404306 is about 740.7177756769.

The spelling of 406404306 in words is "four hundred six million, four hundred four thousand, three hundred six".