460985817600 has 1920 divisors, whose sum is σ = 2235842611200. Its totient is φ = 90066124800.

The previous prime is 460985817581. The next prime is 460985817601. The reversal of 460985817600 is 6718589064.

460985817600 is a `hidden beast` number, since 460 + 9 + 8 + 5 + 8 + 176 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (460985817601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 452389891 + ... + 452390909.

It is an arithmetic number, because the mean of its divisors is an integer number (1164501360).

Almost surely, 2^460985817600 is an apocalyptic number.

460985817600 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 460985817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117921305600).

460985817600 is an abundant number, since it is smaller than the sum of its proper divisors (1774856793600).

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

460985817600 is a wasteful number, since it uses less digits than its factorization.

460985817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 460985817600 in words is "four hundred sixty billion, nine hundred eighty-five million, eight hundred seventeen thousand, six hundred".