459079128 has 96 divisors (see below), whose sum is σ = 1283115600. Its totient is φ = 148172544.

The previous prime is 459079123. The next prime is 459079141. The reversal of 459079128 is 821970954.

459079128 is a `hidden beast` number, since 459 + 0 + 79 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459079123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036075 + ... + 1036517.

Almost surely, 2^459079128 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 459079128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641557800).

459079128 is an abundant number, since it is smaller than the sum of its proper divisors (824036472).

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

459079128 is a wasteful number, since it uses less digits than its factorization.

459079128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 459079128 is about 21426.1318954215. The cubic root of 459079128 is about 771.4288015284.

The spelling of 459079128 in words is "four hundred fifty-nine million, seventy-nine thousand, one hundred twenty-eight".