456616417 has 4 divisors (see below), whose sum is σ = 480648880. Its totient is φ = 432583956.

The previous prime is 456616411. The next prime is 456616423. The reversal of 456616417 is 714616654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (456616411) and next prime (456616423).

It is a cyclic number.

It is not a de Polignac number, because 456616417 - 2¹¹ = 456614369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456616417.

It is not an unprimeable number, because it can be changed into a prime (456616411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12016203 + ... + 12016240.

It is an arithmetic number, because the mean of its divisors is an integer number (120162220).

Almost surely, 2^456616417 is an apocalyptic number.

It is an amenable number.

456616417 is a deficient number, since it is larger than the sum of its proper divisors (24032463).

456616417 is a wasteful number, since it uses less digits than its factorization.

456616417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032462.

The product of its digits is 120960, while the sum is 40.

The square root of 456616417 is about 21368.5848150971. The cubic root of 456616417 is about 770.0468948782.

The spelling of 456616417 in words is "four hundred fifty-six million, six hundred sixteen thousand, four hundred seventeen".