406416306 has 32 divisors (see below), whose sum is σ = 841800960. Its totient is φ = 130720464.

The previous prime is 406416299. The next prime is 406416317. The reversal of 406416306 is 603614604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11925 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (26306280).

Almost surely, 2^406416306 is an apocalyptic number.

406416306 is an abundant number, since it is smaller than the sum of its proper divisors (435384654).

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

406416306 is a wasteful number, since it uses less digits than its factorization.

406416306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 406416306 is about 20159.7694927298. The cubic root of 406416306 is about 740.7250660571.

The spelling of 406416306 in words is "four hundred six million, four hundred sixteen thousand, three hundred six".