460381516656500 has 96 divisors (see below), whose sum is σ = 1041807893817600. Its totient is φ = 177615689097600.

The previous prime is 460381516656473. The next prime is 460381516656521. The reversal of 460381516656500 is 5656615183064.

It is a happy number.

It is a super-2 number, since 2×460381516656500² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145664360 + ... + 148791359.

It is an arithmetic number, because the mean of its divisors is an integer number (10852165560600).

Almost surely, 2^{460381516656500} is an apocalyptic number.

It is an amenable number.

460381516656500 is an abundant number, since it is smaller than the sum of its proper divisors (581426377161100).

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

460381516656500 is a wasteful number, since it uses less digits than its factorization.

460381516656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294455850 (or 294455838 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 460381516656500 in words is "four hundred sixty trillion, three hundred eighty-one billion, five hundred sixteen million, six hundred fifty-six thousand, five hundred".