406301216 has 48 divisors (see below), whose sum is σ = 814701888. Its totient is φ = 199430400.

The previous prime is 406301201. The next prime is 406301219. The reversal of 406301216 is 612103604.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 406301191 and 406301200.

It is not an unprimeable number, because it can be changed into a prime (406301219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431306 + ... + 432246.

It is an arithmetic number, because the mean of its divisors is an integer number (16972956).

Almost surely, 2^406301216 is an apocalyptic number.

It is an amenable number.

406301216 is an abundant number, since it is smaller than the sum of its proper divisors (408400672).

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

406301216 is a wasteful number, since it uses less digits than its factorization.

406301216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 406301216 is about 20156.9148432988. The cubic root of 406301216 is about 740.6551393219.

The spelling of 406301216 in words is "four hundred six million, three hundred one thousand, two hundred sixteen".