459231360 has 256 divisors, whose sum is σ = 1710858240. Its totient is φ = 102592512.

The previous prime is 459231307. The next prime is 459231361. The reversal of 459231360 is 63132954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459231361) 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 31 ways as a sum of consecutive naturals, for example, 631317 + ... + 632043.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^459231360 is an apocalyptic number.

459231360 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 459231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

459231360 is an abundant number, since it is smaller than the sum of its proper divisors (1251626880).

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

459231360 is a wasteful number, since it uses less digits than its factorization.

459231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 459231360 is about 21429.6840853989. The cubic root of 459231360 is about 771.5140614643.

The spelling of 459231360 in words is "four hundred fifty-nine million, two hundred thirty-one thousand, three hundred sixty".