460465509800 has 48 divisors (see below), whose sum is σ = 1070732419260. Its totient is φ = 184160378880.

The previous prime is 460465509799. The next prime is 460465509809. The reversal of 460465509800 is 8905564064.

It can be written as a sum of positive squares in 6 ways, for example, as 100295089636 + 360170420164 = 316694^2 + 600142^2 .

It is not an unprimeable number, because it can be changed into a prime (460465509809) 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 11 ways as a sum of consecutive naturals, for example, 1301642 + ... + 1617158.

Almost surely, 2^460465509800 is an apocalyptic number.

460465509800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460465509800 is an abundant number, since it is smaller than the sum of its proper divisors (610266909460).

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

460465509800 is a wasteful number, since it uses less digits than its factorization.

460465509800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322830 (or 322821 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 460465509800 in words is "four hundred sixty billion, four hundred sixty-five million, five hundred nine thousand, eight hundred".