460921617 has 32 divisors (see below), whose sum is σ = 755269760. Its totient is φ = 275970240.

The previous prime is 460921613. The next prime is 460921619. The reversal of 460921617 is 716129064.

It is not a de Polignac number, because 460921617 - 2² = 460921613 is a prime.

It is a super-3 number, since 3×460921617³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460921613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4759 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (23602180).

Almost surely, 2^460921617 is an apocalyptic number.

It is an amenable number.

460921617 is a deficient number, since it is larger than the sum of its proper divisors (294348143).

460921617 is a wasteful number, since it uses less digits than its factorization.

460921617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35550 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 460921617 is about 21469.0851458557. The cubic root of 460921617 is about 772.4594530514.

The spelling of 460921617 in words is "four hundred sixty million, nine hundred twenty-one thousand, six hundred seventeen".