460226471712 has 96 divisors (see below), whose sum is σ = 1388947295232. Its totient is φ = 130705860864.

The previous prime is 460226471711. The next prime is 460226471717. The reversal of 460226471712 is 217174622064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (460226471711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938258 + ... + 2162705.

It is an arithmetic number, because the mean of its divisors is an integer number (14468200992).

Almost surely, 2^460226471712 is an apocalyptic number.

460226471712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460226471712 is an abundant number, since it is smaller than the sum of its proper divisors (928720823520).

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

460226471712 is a wasteful number, since it uses less digits than its factorization.

460226471712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101150 (or 4101142 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 460226471712 in words is "four hundred sixty billion, two hundred twenty-six million, four hundred seventy-one thousand, seven hundred twelve".