460306760472000 has 3584 divisors, whose sum is σ = 1916624418508800. Its totient is φ = 108750433075200.

The previous prime is 460306760471959. The next prime is 460306760472007. The reversal of 460306760472000 is 274067603064.

460306760472000 is a `hidden beast` number, since 4 + 6 + 0 + 30 + 6 + 7 + 604 + 7 + 2 + 0 + 0 + 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 (460306760472007) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 698492807671 + ... + 698492808329.

It is an arithmetic number, because the mean of its divisors is an integer number (534772438200).

Almost surely, 2^{460306760472000} is an apocalyptic number.

460306760472000 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 460306760472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958312209254400).

460306760472000 is an abundant number, since it is smaller than the sum of its proper divisors (1456317658036800).

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

460306760472000 is an equidigital number, since it uses as much as digits as its factorization.

460306760472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 460306760472000 in words is "four hundred sixty trillion, three hundred six billion, seven hundred sixty million, four hundred seventy-two thousand".