459985136 has 80 divisors (see below), whose sum is σ = 1016601600. Its totient is φ = 199874304.

The previous prime is 459985129. The next prime is 459985151. The reversal of 459985136 is 631589954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944285 + ... + 944771.

It is an arithmetic number, because the mean of its divisors is an integer number (12707520).

Almost surely, 2^459985136 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 459985136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508300800).

459985136 is an abundant number, since it is smaller than the sum of its proper divisors (556616464).

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

459985136 is a wasteful number, since it uses less digits than its factorization.

459985136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 459985136 is about 21447.2640679412. The cubic root of 459985136 is about 771.9359482238.

The spelling of 459985136 in words is "four hundred fifty-nine million, nine hundred eighty-five thousand, one hundred thirty-six".