460414412510060 has 96 divisors (see below), whose sum is σ = 1026523167828480. Its totient is φ = 173085908700672.

The previous prime is 460414412509999. The next prime is 460414412510069. The reversal of 460414412510060 is 60015214414064.

It is a junction number, because it is equal to n+sod(n) for n = 460414412509996 and 460414412510023.

It is not an unprimeable number, because it can be changed into a prime (460414412510069) 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, 49834019 + ... + 58346021.

It is an arithmetic number, because the mean of its divisors is an integer number (10692949664880).

Almost surely, 2^{460414412510060} 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 460414412510060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513261583914240).

460414412510060 is an abundant number, since it is smaller than the sum of its proper divisors (566108755318420).

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

460414412510060 is a wasteful number, since it uses less digits than its factorization.

460414412510060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514087 (or 8514085 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 460414412510060 in words is "four hundred sixty trillion, four hundred fourteen billion, four hundred twelve million, five hundred ten thousand, sixty".