456649317 has 24 divisors (see below), whose sum is σ = 670741344. Its totient is φ = 299328864.

The previous prime is 456649279. The next prime is 456649339. The reversal of 456649317 is 713946654.

It is not a de Polignac number, because 456649317 - 2¹⁰ = 456648293 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456649517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168223 + ... + 170915.

It is an arithmetic number, because the mean of its divisors is an integer number (27947556).

Almost surely, 2^456649317 is an apocalyptic number.

It is an amenable number.

456649317 is a deficient number, since it is larger than the sum of its proper divisors (214092027).

456649317 is a wasteful number, since it uses less digits than its factorization.

456649317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3006 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 456649317 is about 21369.3546229174. The cubic root of 456649317 is about 770.0653888361.

The spelling of 456649317 in words is "four hundred fifty-six million, six hundred forty-nine thousand, three hundred seventeen".