460263553100416 has 256 divisors, whose sum is σ = 1046238068736000. Its totient is φ = 200191520010240.

The previous prime is 460263553100401. The next prime is 460263553100467. The reversal of 460263553100416 is 614001355362064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481988161 + ... + 482942143.

It is an arithmetic number, because the mean of its divisors is an integer number (4086867456000).

Almost surely, 2^{460263553100416} 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 460263553100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523119034368000).

460263553100416 is an abundant number, since it is smaller than the sum of its proper divisors (585974515635584).

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

460263553100416 is a wasteful number, since it uses less digits than its factorization.

460263553100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954287 (or 954275 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 460263553100416 in words is "four hundred sixty trillion, two hundred sixty-three billion, five hundred fifty-three million, one hundred thousand, four hundred sixteen".