460205215214340 has 96 divisors (see below), whose sum is σ = 1291881361688064. Its totient is φ = 122406490483200.

The previous prime is 460205215214273. The next prime is 460205215214411. The reversal of 460205215214340 is 43412512502064.

It is a super-2 number, since 2×460205215214340² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516472677 + ... + 517362963.

It is an arithmetic number, because the mean of its divisors is an integer number (13457097517584).

Almost surely, 2^{460205215214340} is an apocalyptic number.

It is an amenable number.

460205215214340 is an abundant number, since it is smaller than the sum of its proper divisors (831676146473724).

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

460205215214340 is a wasteful number, since it uses less digits than its factorization.

460205215214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912397 (or 912395 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 460205215214340 in words is "four hundred sixty trillion, two hundred five billion, two hundred fifteen million, two hundred fourteen thousand, three hundred forty".