459676721288460 has 288 divisors, whose sum is σ = 1441853618042880. Its totient is φ = 109243645056000.

The previous prime is 459676721288417. The next prime is 459676721288461. The reversal of 459676721288460 is 64882127676954.

It is a super-2 number, since 2×459676721288460² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459676721288461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8583878685 + ... + 8583932235.

It is an arithmetic number, because the mean of its divisors is an integer number (5006436173760).

Almost surely, 2^{459676721288460} 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 459676721288460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720926809021440).

459676721288460 is an abundant number, since it is smaller than the sum of its proper divisors (982176896754420).

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

459676721288460 is a wasteful number, since it uses less digits than its factorization.

459676721288460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82809 (or 82794 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 75.

The spelling of 459676721288460 in words is "four hundred fifty-nine trillion, six hundred seventy-six billion, seven hundred twenty-one million, two hundred eighty-eight thousand, four hundred sixty".