460327616760 has 256 divisors, whose sum is σ = 1577037496320. Its totient is φ = 106473024000.

The previous prime is 460327616741. The next prime is 460327616767. The reversal of 460327616760 is 67616723064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460327616767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2826099 + ... + 2984541.

It is an arithmetic number, because the mean of its divisors is an integer number (6160302720).

Almost surely, 2^460327616760 is an apocalyptic number.

460327616760 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 460327616760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788518748160).

460327616760 is an abundant number, since it is smaller than the sum of its proper divisors (1116709879560).

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

460327616760 is a wasteful number, since it uses less digits than its factorization.

460327616760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158570 (or 158566 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 460327616760 in words is "four hundred sixty billion, three hundred twenty-seven million, six hundred sixteen thousand, seven hundred sixty".