460048860216 has 288 divisors, whose sum is σ = 1393707893760. Its totient is φ = 136966896000.

The previous prime is 460048860209. The next prime is 460048860241. The reversal of 460048860216 is 612068840064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138109671 + ... + 138113001.

It is an arithmetic number, because the mean of its divisors is an integer number (4839263520).

Almost surely, 2^460048860216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460048860216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696853946880).

460048860216 is an abundant number, since it is smaller than the sum of its proper divisors (933659033544).

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

460048860216 is a wasteful number, since it uses less digits than its factorization.

460048860216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 460048860216 in words is "four hundred sixty billion, forty-eight million, eight hundred sixty thousand, two hundred sixteen".