459321120 has 144 divisors (see below), whose sum is σ = 1574052480. Its totient is φ = 121969152.

The previous prime is 459321097. The next prime is 459321127. The reversal of 459321120 is 21123954.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (459321127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441561 + ... + 442599.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2^459321120 is an apocalyptic number.

459321120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787026240).

459321120 is an abundant number, since it is smaller than the sum of its proper divisors (1114731360).

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

459321120 is a wasteful number, since it uses less digits than its factorization.

459321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 459321120 is about 21431.7782743290. The cubic root of 459321120 is about 771.5643241400.

The spelling of 459321120 in words is "four hundred fifty-nine million, three hundred twenty-one thousand, one hundred twenty".