460456500 has 96 divisors (see below), whose sum is σ = 1532434176. Its totient is φ = 105244800.

The previous prime is 460456499. The next prime is 460456501. The reversal of 460456500 is 5654064.

It is an interprime number because it is at equal distance from previous prime (460456499) and next prime (460456501).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460456501) 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, 11427 + ... + 32426.

It is an arithmetic number, because the mean of its divisors is an integer number (15962856).

Almost surely, 2^460456500 is an apocalyptic number.

It is an amenable number.

460456500 is an abundant number, since it is smaller than the sum of its proper divisors (1071977676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460456500 is a wasteful number, since it uses less digits than its factorization.

460456500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43882 (or 43870 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 460456500 is about 21458.2501616511. The cubic root of 460456500 is about 772.1995354360.

The spelling of 460456500 in words is "four hundred sixty million, four hundred fifty-six thousand, five hundred".