430414306849 has 16 divisors (see below), whose sum is σ = 478559150080. Its totient is φ = 385430406480.

The previous prime is 430414306831. The next prime is 430414306859. The reversal of 430414306849 is 948603414034.

It is a cyclic number.

It is not a de Polignac number, because 430414306849 - 2¹⁷ = 430414175777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 430414306799 and 430414306808.

It is not an unprimeable number, because it can be changed into a prime (430414306859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8471817 + ... + 8522470.

It is an arithmetic number, because the mean of its divisors is an integer number (29909946880).

Almost surely, 2^430414306849 is an apocalyptic number.

It is an amenable number.

430414306849 is a deficient number, since it is larger than the sum of its proper divisors (48144843231).

430414306849 is a wasteful number, since it uses less digits than its factorization.

430414306849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994380.

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 430414306849 in words is "four hundred thirty billion, four hundred fourteen million, three hundred six thousand, eight hundred forty-nine".