306107406 has 96 divisors (see below), whose sum is σ = 771503616. Its totient is φ = 86688000.

The previous prime is 306107377. The next prime is 306107407. The reversal of 306107406 is 604701603.

306107406 is a `hidden beast` number, since 3 + 0 + 610 + 7 + 40 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

306107406 is a modest number, since divided by 107406 gives 306 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 306107406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306107407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710011 + ... + 710441.

It is an arithmetic number, because the mean of its divisors is an integer number (8036496).

Almost surely, 2^306107406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306107406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385751808).

306107406 is an abundant number, since it is smaller than the sum of its proper divisors (465396210).

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

306107406 is a wasteful number, since it uses less digits than its factorization.

306107406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 306107406 is about 17495.9254113636. The cubic root of 306107406 is about 673.9452432278.

The spelling of 306107406 in words is "three hundred six million, one hundred seven thousand, four hundred six".