460505361 has 32 divisors (see below), whose sum is σ = 643534848. Its totient is φ = 292682880.

The previous prime is 460505281. The next prime is 460505363. The reversal of 460505361 is 163505064.

It is not a de Polignac number, because 460505361 - 2¹⁷ = 460374289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460505363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254600 + ... + 1254966.

It is an arithmetic number, because the mean of its divisors is an integer number (20110464).

Almost surely, 2^460505361 is an apocalyptic number.

It is an amenable number.

460505361 is a deficient number, since it is larger than the sum of its proper divisors (183029487).

460505361 is a wasteful number, since it uses less digits than its factorization.

460505361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 460505361 is about 21459.3886446003. The cubic root of 460505361 is about 772.2268482636.

The spelling of 460505361 in words is "four hundred sixty million, five hundred five thousand, three hundred sixty-one".