416768961 has 12 divisors (see below), whose sum is σ = 646417392. Its totient is φ = 238153608.

The previous prime is 416768951. The next prime is 416768969. The reversal of 416768961 is 169867614.

It is a happy number.

It is not a de Polignac number, because 416768961 - 2¹⁷ = 416637889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416768961.

It is not an unprimeable number, because it can be changed into a prime (416768969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417435 + ... + 1417728.

It is an arithmetic number, because the mean of its divisors is an integer number (53868116).

Almost surely, 2^416768961 is an apocalyptic number.

It is an amenable number.

416768961 is a deficient number, since it is larger than the sum of its proper divisors (229648431).

416768961 is a wasteful number, since it uses less digits than its factorization.

416768961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835180 (or 2835173 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 416768961 is about 20414.9200586238. The cubic root of 416768961 is about 746.9619090663.

The spelling of 416768961 in words is "four hundred sixteen million, seven hundred sixty-eight thousand, nine hundred sixty-one".