460052434580128 has 144 divisors (see below), whose sum is σ = 1012522978639872. Its totient is φ = 205456777344000.

The previous prime is 460052434580023. The next prime is 460052434580153. The reversal of 460052434580128 is 821085434250064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373037258 + ... + 1373372278.

It is an arithmetic number, because the mean of its divisors is an integer number (7031409573888).

Almost surely, 2^{460052434580128} 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 460052434580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506261489319936).

460052434580128 is an abundant number, since it is smaller than the sum of its proper divisors (552470544059744).

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

460052434580128 is a wasteful number, since it uses less digits than its factorization.

460052434580128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343279 (or 343258 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 52.

The spelling of 460052434580128 in words is "four hundred sixty trillion, fifty-two billion, four hundred thirty-four million, five hundred eighty thousand, one hundred twenty-eight".