460138808160 has 768 divisors, whose sum is σ = 1716091453440. Its totient is φ = 114960384000.

The previous prime is 460138808159. The next prime is 460138808167. The reversal of 460138808160 is 61808831064.

It is a happy number.

460138808160 is a `hidden beast` number, since 4 + 601 + 38 + 8 + 0 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460138808167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 993820089 + ... + 993820551.

It is an arithmetic number, because the mean of its divisors is an integer number (2234494080).

Almost surely, 2^460138808160 is an apocalyptic number.

460138808160 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 460138808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858045726720).

460138808160 is an abundant number, since it is smaller than the sum of its proper divisors (1255952645280).

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

460138808160 is a wasteful number, since it uses less digits than its factorization.

460138808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 460138808160 in words is "four hundred sixty billion, one hundred thirty-eight million, eight hundred eight thousand, one hundred sixty".