416442411 has 64 divisors (see below), whose sum is σ = 772669440. Its totient is φ = 215356320.

The previous prime is 416442409. The next prime is 416442427. The reversal of 416442411 is 114244614.

416442411 is a `hidden beast` number, since 4 + 1 + 644 + 2 + 4 + 11 = 666.

It is not a de Polignac number, because 416442411 - 2¹ = 416442409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (416442451) 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 63 ways as a sum of consecutive naturals, for example, 795996 + ... + 796518.

It is an arithmetic number, because the mean of its divisors is an integer number (12072960).

Almost surely, 2^416442411 is an apocalyptic number.

416442411 is a deficient number, since it is larger than the sum of its proper divisors (356227029).

416442411 is a wasteful number, since it uses less digits than its factorization.

416442411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 416442411 is about 20406.9206643237. The cubic root of 416442411 is about 746.7667696581.

The spelling of 416442411 in words is "four hundred sixteen million, four hundred forty-two thousand, four hundred eleven".