460927430709760 has 160 divisors (see below), whose sum is σ = 1263101750456832. Its totient is φ = 158022467174400.

The previous prime is 460927430709749. The next prime is 460927430709791. The reversal of 460927430709760 is 67907034729064.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 460927430709692 and 460927430709701.

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, 291324969 + ... + 292902871.

Almost surely, 2^{460927430709760} is an apocalyptic number.

460927430709760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460927430709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631550875228416).

460927430709760 is an abundant number, since it is smaller than the sum of its proper divisors (802174319747072).

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

460927430709760 is a wasteful number, since it uses less digits than its factorization.

460927430709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594234 (or 1594218 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 64.

The spelling of 460927430709760 in words is "four hundred sixty trillion, nine hundred twenty-seven billion, four hundred thirty million, seven hundred nine thousand, seven hundred sixty".