460208552652 has 72 divisors (see below), whose sum is σ = 1167192936000. Its totient is φ = 152890576128.

The previous prime is 460208552647. The next prime is 460208552717. The reversal of 460208552652 is 256255802064.

It is a happy number.

460208552652 is a `hidden beast` number, since 46 + 0 + 2 + 0 + 8 + 552 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460208552598 and 460208552607.

It is an unprimeable number.

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, 30736624 + ... + 30751592.

It is an arithmetic number, because the mean of its divisors is an integer number (16211013000).

Almost surely, 2^460208552652 is an apocalyptic number.

It is an amenable number.

460208552652 is an abundant number, since it is smaller than the sum of its proper divisors (706984383348).

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

460208552652 is a wasteful number, since it uses less digits than its factorization.

460208552652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17775 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 460208552652 in words is "four hundred sixty billion, two hundred eight million, five hundred fifty-two thousand, six hundred fifty-two".