460161066372800 has 336 divisors, whose sum is σ = 1222410949566912. Its totient is φ = 169484086886400.

The previous prime is 460161066372743. The next prime is 460161066372851. The reversal of 460161066372800 is 8273660161064.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17876567930 + ... + 17876593670.

It is an arithmetic number, because the mean of its divisors is an integer number (3638127826092).

Almost surely, 2^{460161066372800} is an apocalyptic number.

460161066372800 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 460161066372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611205474783456).

460161066372800 is an abundant number, since it is smaller than the sum of its proper divisors (762249883194112).

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

460161066372800 is a wasteful number, since it uses less digits than its factorization.

460161066372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 460161066372800 in words is "four hundred sixty trillion, one hundred sixty-one billion, sixty-six million, three hundred seventy-two thousand, eight hundred".