460520010153 has 24 divisors (see below), whose sum is σ = 762119369856. Its totient is φ = 262498032000.

The previous prime is 460520010109. The next prime is 460520010199. The reversal of 460520010153 is 351010025064.

460520010153 is a `hidden beast` number, since 4 + 605 + 2 + 0 + 0 + 1 + 0 + 1 + 53 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-460520010153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460520010253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9089253 + ... + 9139778.

It is an arithmetic number, because the mean of its divisors is an integer number (31754973744).

Almost surely, 2^460520010153 is an apocalyptic number.

It is an amenable number.

460520010153 is a deficient number, since it is larger than the sum of its proper divisors (301599359703).

460520010153 is a wasteful number, since it uses less digits than its factorization.

460520010153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229445 (or 18229442 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 460520010153 in words is "four hundred sixty billion, five hundred twenty million, ten thousand, one hundred fifty-three".