459323002728 has 256 divisors, whose sum is σ = 1409329152000. Its totient is φ = 138110531328.

The previous prime is 459323002709. The next prime is 459323002741. The reversal of 459323002728 is 827200323954.

459323002728 is a `hidden beast` number, since 4 + 59 + 323 + 0 + 0 + 272 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6158025 + ... + 6232167.

It is an arithmetic number, because the mean of its divisors is an integer number (5505192000).

Almost surely, 2^459323002728 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 459323002728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704664576000).

459323002728 is an abundant number, since it is smaller than the sum of its proper divisors (950006149272).

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

459323002728 is a wasteful number, since it uses less digits than its factorization.

459323002728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74253 (or 74243 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 459323002728 in words is "four hundred fifty-nine billion, three hundred twenty-three million, two thousand, seven hundred twenty-eight".