416445561 has 48 divisors (see below), whose sum is σ = 705369600. Its totient is φ = 236658240.

The previous prime is 416445559. The next prime is 416445571. The reversal of 416445561 is 165544614.

416445561 is a `hidden beast` number, since 4 + 1 + 644 + 5 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 416445561 - 2¹ = 416445559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416445511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966016 + ... + 966446.

It is an arithmetic number, because the mean of its divisors is an integer number (14695200).

Almost surely, 2^416445561 is an apocalyptic number.

It is an amenable number.

416445561 is a deficient number, since it is larger than the sum of its proper divisors (288924039).

416445561 is a wasteful number, since it uses less digits than its factorization.

416445561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 416445561 is about 20406.9978438770. The cubic root of 416445561 is about 746.7686525190.

The spelling of 416445561 in words is "four hundred sixteen million, four hundred forty-five thousand, five hundred sixty-one".