460224513 has 18 divisors (see below), whose sum is σ = 773303154. Its totient is φ = 262985184.

The previous prime is 460224509. The next prime is 460224529. The reversal of 460224513 is 315422064.

460224513 is a `hidden beast` number, since 4 + 602 + 2 + 4 + 51 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452540529 + 7683984 = 21273^2 + 2772^2 .

It is not a de Polignac number, because 460224513 - 2² = 460224509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460224553) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 521356 + ... + 522237.

Almost surely, 2^460224513 is an apocalyptic number.

It is an amenable number.

460224513 is a deficient number, since it is larger than the sum of its proper divisors (313078641).

460224513 is a wasteful number, since it uses less digits than its factorization.

460224513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043613 (or 1043603 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 460224513 is about 21452.8439373431. The cubic root of 460224513 is about 772.0698305693.

Adding to 460224513 its reverse (315422064), we get a palindrome (775646577).

The spelling of 460224513 in words is "four hundred sixty million, two hundred twenty-four thousand, five hundred thirteen".