460173312000 has 1280 divisors, whose sum is σ = 1830817216800. Its totient is φ = 114661785600.

The previous prime is 460173311921. The next prime is 460173312041. The reversal of 460173312000 is 213371064.

460173312000 is a `hidden beast` number, since 4 + 601 + 7 + 3 + 31 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6303743964 + ... + 6303744036.

Almost surely, 2^460173312000 is an apocalyptic number.

460173312000 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 460173312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915408608400).

460173312000 is an abundant number, since it is smaller than the sum of its proper divisors (1370643904800).

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

460173312000 is an frugal number, since it uses more digits than its factorization.

460173312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 460173312000 its reverse (213371064), we get a palindrome (460386683064).

The spelling of 460173312000 in words is "four hundred sixty billion, one hundred seventy-three million, three hundred twelve thousand".