441416430 has 96 divisors (see below), whose sum is σ = 1412558784. Its totient is φ = 93132288.

The previous prime is 441416399. The next prime is 441416447. The reversal of 441416430 is 34614144.

441416430 is a `hidden beast` number, since 4 + 4 + 14 + 1 + 643 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441416394 and 441416403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18759 + ... + 35138.

It is an arithmetic number, because the mean of its divisors is an integer number (14714154).

Almost surely, 2^441416430 is an apocalyptic number.

441416430 is an abundant number, since it is smaller than the sum of its proper divisors (971142354).

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

441416430 is a wasteful number, since it uses less digits than its factorization.

441416430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53930 (or 53927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 441416430 is about 21009.9126604563. The cubic root of 441416430 is about 761.4057718712.

The spelling of 441416430 in words is "four hundred forty-one million, four hundred sixteen thousand, four hundred thirty".