460412205360 has 80 divisors (see below), whose sum is σ = 1427343358464. Its totient is φ = 122770951936.

The previous prime is 460412205353. The next prime is 460412205371. The reversal of 460412205360 is 63502214064.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 9456439 + ... + 9505001.

Almost surely, 2^460412205360 is an apocalyptic number.

460412205360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460412205360 is an abundant number, since it is smaller than the sum of its proper divisors (966931153104).

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

460412205360 is a wasteful number, since it uses less digits than its factorization.

460412205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88082 (or 88076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 460412205360 in words is "four hundred sixty billion, four hundred twelve million, two hundred five thousand, three hundred sixty".