456226917 has 8 divisors (see below), whose sum is σ = 640318560. Its totient is φ = 288143280.

The previous prime is 456226891. The next prime is 456226931. The reversal of 456226917 is 719622654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456226917 - 2¹² = 456222821 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456226997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4001934 + ... + 4002047.

It is an arithmetic number, because the mean of its divisors is an integer number (80039820).

Almost surely, 2^456226917 is an apocalyptic number.

It is an amenable number.

456226917 is a deficient number, since it is larger than the sum of its proper divisors (184091643).

456226917 is a wasteful number, since it uses less digits than its factorization.

456226917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004003.

The product of its digits is 181440, while the sum is 42.

The square root of 456226917 is about 21359.4690242993. The cubic root of 456226917 is about 769.8278791083.

The spelling of 456226917 in words is "four hundred fifty-six million, two hundred twenty-six thousand, nine hundred seventeen".