459832660980 has 288 divisors, whose sum is σ = 1643363406720. Its totient is φ = 94996177920.

The previous prime is 459832660967. The next prime is 459832660999. The reversal of 459832660980 is 89066238954.

It is a super-2 number, since 2×459832660980² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5553726 + ... + 5635914.

It is an arithmetic number, because the mean of its divisors is an integer number (5706122940).

Almost surely, 2^459832660980 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 459832660980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821681703360).

459832660980 is an abundant number, since it is smaller than the sum of its proper divisors (1183530745740).

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

459832660980 is a wasteful number, since it uses less digits than its factorization.

459832660980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82399 (or 82390 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 459832660980 in words is "four hundred fifty-nine billion, eight hundred thirty-two million, six hundred sixty thousand, nine hundred eighty".