459111240 has 320 divisors, whose sum is σ = 1823247360. Its totient is φ = 101399040.

The previous prime is 459111239. The next prime is 459111241. The reversal of 459111240 is 42111954.

It is an interprime number because it is at equal distance from previous prime (459111239) and next prime (459111241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (459111241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702754 + ... + 703406.

It is an arithmetic number, because the mean of its divisors is an integer number (5697648).

Almost surely, 2^459111240 is an apocalyptic number.

459111240 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 459111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911623680).

459111240 is an abundant number, since it is smaller than the sum of its proper divisors (1364136120).

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

459111240 is a wasteful number, since it uses less digits than its factorization.

459111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 459111240 is about 21426.8812476291. The cubic root of 459111240 is about 771.4467879296.

The spelling of 459111240 in words is "four hundred fifty-nine million, one hundred eleven thousand, two hundred forty".