460173316608 has 240 divisors, whose sum is σ = 1415563433856. Its totient is φ = 143408332800.

The previous prime is 460173316583. The next prime is 460173316637. The reversal of 460173316608 is 806613371064.

460173316608 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 7 + 3 + 31 + 6 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11809285 + ... + 11848187.

Almost surely, 2^460173316608 is an apocalyptic number.

460173316608 is a gapful number since it is divisible by the number (48) 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 460173316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707781716928).

460173316608 is an abundant number, since it is smaller than the sum of its proper divisors (955390117248).

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

460173316608 is a wasteful number, since it uses less digits than its factorization.

460173316608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39095 (or 39076 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 460173316608 in words is "four hundred sixty billion, one hundred seventy-three million, three hundred sixteen thousand, six hundred eight".