417281116729 has 3 divisors (see below), whose sum is σ = 417281762703. Its totient is φ = 417280470756.

The previous prime is 417281116649. The next prime is 417281116739. The reversal of 417281116729 is 927611182714.

The square root of 417281116729 is 645973.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4793485225 + 412487631504 = 69235^2 + 642252^2 .

It is a de Polignac number, because none of the positive numbers 2^k-417281116729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417281116739) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 322987 + ... + 968959.

It is an arithmetic number, because the mean of its divisors is an integer number (139093920901).

Almost surely, 2^417281116729 is an apocalyptic number.

417281116729 is the 645973-rd square number.

417281116729 is the 322987-th centered octagonal number.

It is an amenable number.

417281116729 is a deficient number, since it is larger than the sum of its proper divisors (645974).

417281116729 is an frugal number, since it uses more digits than its factorization.

417281116729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291946 (or 645973 counting only the distinct ones).

The product of its digits is 338688, while the sum is 49.

Multiplying 417281116729 by its sum of digits (49), we get a square (20446774719721 = 4521811²).

The spelling of 417281116729 in words is "four hundred seventeen billion, two hundred eighty-one million, one hundred sixteen thousand, seven hundred twenty-nine".