460217020320 has 288 divisors, whose sum is σ = 1598780514240. Its totient is φ = 120518246400.

The previous prime is 460217020313. The next prime is 460217020321. The reversal of 460217020320 is 23020712064.

460217020320 is a `hidden beast` number, since 4 + 602 + 1 + 7 + 0 + 20 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (460217020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103394095 + ... + 103398545.

It is an arithmetic number, because the mean of its divisors is an integer number (5551321230).

Almost surely, 2^460217020320 is an apocalyptic number.

460217020320 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 460217020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799390257120).

460217020320 is an abundant number, since it is smaller than the sum of its proper divisors (1138563493920).

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

460217020320 is a wasteful number, since it uses less digits than its factorization.

460217020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 460217020320 its reverse (23020712064), we get a palindrome (483237732384).

The spelling of 460217020320 in words is "four hundred sixty billion, two hundred seventeen million, twenty thousand, three hundred twenty".