460628168000 has 896 divisors, whose sum is σ = 1550030017536. Its totient is φ = 130940928000.

The previous prime is 460628167981. The next prime is 460628168009. The reversal of 460628168000 is 861826064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460628168009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776775704 + ... + 776776296.

It is an arithmetic number, because the mean of its divisors is an integer number (1729944216).

Almost surely, 2^460628168000 is an apocalyptic number.

460628168000 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 460628168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775015008768).

460628168000 is an abundant number, since it is smaller than the sum of its proper divisors (1089401849536).

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

460628168000 is a wasteful number, since it uses less digits than its factorization.

460628168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 460628168000 in words is "four hundred sixty billion, six hundred twenty-eight million, one hundred sixty-eight thousand".