414482302809 has 27 divisors (see below), whose sum is σ = 607955608533. Its totient is φ = 272112351192.

The previous prime is 414482302799. The next prime is 414482302811. The reversal of 414482302809 is 908203284414.

The square root of 414482302809 is 643803.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 414482302809 - 2⁵ = 414482302777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414482302849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129402802 + ... + 129406004.

Almost surely, 2^414482302809 is an apocalyptic number.

414482302809 is the 643803-rd square number.

414482302809 is the 321902-nd centered octagonal number.

It is an amenable number.

414482302809 is a deficient number, since it is larger than the sum of its proper divisors (193473305724).

414482302809 is an frugal number, since it uses more digits than its factorization.

414482302809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 414482302809 in words is "four hundred fourteen billion, four hundred eighty-two million, three hundred two thousand, eight hundred nine".