424116306 has 48 divisors (see below), whose sum is σ = 976939704. Its totient is φ = 132513792.

The previous prime is 424116283. The next prime is 424116307. The reversal of 424116306 is 603611424.

424116306 is a `hidden beast` number, since 4 + 24 + 1 + 1 + 630 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368985681 + 55130625 = 19209^2 + 7425^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424116306.

It is not an unprimeable number, because it can be changed into a prime (424116307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75946 + ... + 81338.

Almost surely, 2^424116306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424116306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488469852).

424116306 is an abundant number, since it is smaller than the sum of its proper divisors (552823398).

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

424116306 is a wasteful number, since it uses less digits than its factorization.

424116306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 424116306 is about 20594.0842476669. The cubic root of 424116306 is about 751.3258361635.

The spelling of 424116306 in words is "four hundred twenty-four million, one hundred sixteen thousand, three hundred six".