460403755008 has 384 divisors, whose sum is σ = 1359188812800. Its totient is φ = 137933881344.

The previous prime is 460403755003. The next prime is 460403755013. The reversal of 460403755008 is 800557304064.

It is an interprime number because it is at equal distance from previous prime (460403755003) and next prime (460403755013).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (460403755003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293811441 + ... + 293813007.

It is an arithmetic number, because the mean of its divisors is an integer number (3539554200).

Almost surely, 2^460403755008 is an apocalyptic number.

460403755008 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 460403755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679594406400).

460403755008 is an abundant number, since it is smaller than the sum of its proper divisors (898785057792).

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

460403755008 is a wasteful number, since it uses less digits than its factorization.

460403755008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 460403755008 in words is "four hundred sixty billion, four hundred three million, seven hundred fifty-five thousand, eight".