456961616 has 20 divisors (see below), whose sum is σ = 886699572. Its totient is φ = 228135936.

The previous prime is 456961597. The next prime is 456961619. The reversal of 456961616 is 616169654.

It can be written as a sum of positive squares in 2 ways, for example, as 357361216 + 99600400 = 18904^2 + 9980^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456961619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10451 + ... + 31986.

Almost surely, 2^456961616 is an apocalyptic number.

It is an amenable number.

456961616 is a deficient number, since it is larger than the sum of its proper divisors (429737956).

456961616 is a wasteful number, since it uses less digits than its factorization.

456961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43118 (or 43112 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 456961616 is about 21376.6605436864. The cubic root of 456961616 is about 770.2408961233.

The spelling of 456961616 in words is "four hundred fifty-six million, nine hundred sixty-one thousand, six hundred sixteen".