460507105431 has 12 divisors (see below), whose sum is σ = 665748894408. Its totient is φ = 306740753424.

The previous prime is 460507105363. The next prime is 460507105439. The reversal of 460507105431 is 134501705064.

460507105431 is a `hidden beast` number, since 4 + 6 + 0 + 507 + 105 + 43 + 1 = 666.

460507105431 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 460507105431 - 2²⁹ = 459970234519 is a prime.

It is a super-3 number, since 3×460507105431³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460507105439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21987580 + ... + 22008513.

It is an arithmetic number, because the mean of its divisors is an integer number (55479074534).

Almost surely, 2^460507105431 is an apocalyptic number.

460507105431 is a deficient number, since it is larger than the sum of its proper divisors (205241788977).

460507105431 is a wasteful number, since it uses less digits than its factorization.

460507105431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43997262 (or 43997259 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 460507105431 in words is "four hundred sixty billion, five hundred seven million, one hundred five thousand, four hundred thirty-one".