460277464772064 has 48 divisors (see below), whose sum is σ = 1279300600621008. Its totient is φ = 144400773261312.

The previous prime is 460277464772057. The next prime is 460277464772117.

It is a happy number.

460277464772064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 460277464771986 and 460277464772004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141016378507 + ... + 141016381770.

It is an arithmetic number, because the mean of its divisors is an integer number (26652095846271).

Almost surely, 2^{460277464772064} is an apocalyptic number.

It is an amenable number.

460277464772064 is an abundant number, since it is smaller than the sum of its proper divisors (819023135848944).

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

460277464772064 is a wasteful number, since it uses less digits than its factorization.

460277464772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282032760307 (or 282032760299 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 66.

The spelling of 460277464772064 in words is "four hundred sixty trillion, two hundred seventy-seven billion, four hundred sixty-four million, seven hundred seventy-two thousand, sixty-four".