417405307444 has 24 divisors (see below), whose sum is σ = 731460449160. Its totient is φ = 208416743424.

The previous prime is 417405307441. The next prime is 417405307457. The reversal of 417405307444 is 444703504714.

It can be written as a sum of positive squares in 4 ways, for example, as 2901115044 + 414504192400 = 53862^2 + 643820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 417405307444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417405307441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14303172 + ... + 14332324.

It is an arithmetic number, because the mean of its divisors is an integer number (30477518715).

Almost surely, 2^417405307444 is an apocalyptic number.

It is an amenable number.

417405307444 is a deficient number, since it is larger than the sum of its proper divisors (314055141716).

417405307444 is a wasteful number, since it uses less digits than its factorization.

417405307444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33939 (or 33937 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 417405307444 in words is "four hundred seventeen billion, four hundred five million, three hundred seven thousand, four hundred forty-four".