460809216000 has 896 divisors, whose sum is σ = 1948093355520. Its totient is φ = 105283584000.

The previous prime is 460809215987. The next prime is 460809216001. The reversal of 460809216000 is 612908064.

460809216000 is a `hidden beast` number, since 46 + 0 + 8 + 0 + 9 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460809216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193534810 + ... + 193537190.

Almost surely, 2^460809216000 is an apocalyptic number.

460809216000 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 460809216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974046677760).

460809216000 is an abundant number, since it is smaller than the sum of its proper divisors (1487284139520).

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

460809216000 is an equidigital number, since it uses as much as digits as its factorization.

460809216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 460809216000 in words is "four hundred sixty billion, eight hundred nine million, two hundred sixteen thousand".