460728133326720 has 1536 divisors, whose sum is σ = 1853809000243200. Its totient is φ = 103269588664320.

The previous prime is 460728133326709. The next prime is 460728133326739. The reversal of 460728133326720 is 27623331827064.

460728133326720 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 28 + 1 + 333 + 267 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386192902444 + ... + 386192903636.

It is an arithmetic number, because the mean of its divisors is an integer number (1206906901200).

Almost surely, 2^{460728133326720} is an apocalyptic number.

460728133326720 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 460728133326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926904500121600).

460728133326720 is an abundant number, since it is smaller than the sum of its proper divisors (1393080866916480).

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

460728133326720 is a wasteful number, since it uses less digits than its factorization.

460728133326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 460728133326720 in words is "four hundred sixty trillion, seven hundred twenty-eight billion, one hundred thirty-three million, three hundred twenty-six thousand, seven hundred twenty".