416768005 has 16 divisors (see below), whose sum is σ = 530748720. Its totient is φ = 313085952.

The previous prime is 416767979. The next prime is 416768041. The reversal of 416768005 is 500867614.

It can be written as a sum of positive squares in 8 ways, for example, as 66292164 + 350475841 = 8142^2 + 18721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416768005 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33481 + ... + 44209.

It is an arithmetic number, because the mean of its divisors is an integer number (33171795).

Almost surely, 2^416768005 is an apocalyptic number.

It is an amenable number.

416768005 is a deficient number, since it is larger than the sum of its proper divisors (113980715).

416768005 is a wasteful number, since it uses less digits than its factorization.

416768005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 416768005 is about 20414.8966443624. The cubic root of 416768005 is about 746.9613379296.

The spelling of 416768005 in words is "four hundred sixteen million, seven hundred sixty-eight thousand, five".