456701217 has 24 divisors (see below), whose sum is σ = 709723872. Its totient is φ = 260467200.

The previous prime is 456701153. The next prime is 456701227. The reversal of 456701217 is 712107654.

It is not a de Polignac number, because 456701217 - 2⁶ = 456701153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456701227) 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, 81217 + ... + 86657.

It is an arithmetic number, because the mean of its divisors is an integer number (29571828).

Almost surely, 2^456701217 is an apocalyptic number.

It is an amenable number.

456701217 is a deficient number, since it is larger than the sum of its proper divisors (253022655).

456701217 is a wasteful number, since it uses less digits than its factorization.

456701217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 456701217 is about 21370.5689442279. The cubic root of 456701217 is about 770.0945613895.

The spelling of 456701217 in words is "four hundred fifty-six million, seven hundred one thousand, two hundred seventeen".