416347641 has 16 divisors (see below), whose sum is σ = 617662720. Its totient is φ = 277182000.

The previous prime is 416347637. The next prime is 416347651. The reversal of 416347641 is 146743614.

416347641 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 4 + 7 + 641 = 666.

It is not a de Polignac number, because 416347641 - 2² = 416347637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416347596 and 416347605.

It is not an unprimeable number, because it can be changed into a prime (416347651) 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, 10011 + ... + 30543.

It is an arithmetic number, because the mean of its divisors is an integer number (38603920).

Almost surely, 2^416347641 is an apocalyptic number.

It is an amenable number.

416347641 is a deficient number, since it is larger than the sum of its proper divisors (201315079).

416347641 is a wasteful number, since it uses less digits than its factorization.

416347641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293 (or 21287 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 416347641 is about 20404.5985258226. The cubic root of 416347641 is about 746.7101180026.

The spelling of 416347641 in words is "four hundred sixteen million, three hundred forty-seven thousand, six hundred forty-one".