459930240 has 768 divisors, whose sum is σ = 2130935040. Its totient is φ = 88473600.

The previous prime is 459930217. The next prime is 459930269. The reversal of 459930240 is 42039954.

459930240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 459930195 and 459930204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539810 + ... + 7539870.

It is an arithmetic number, because the mean of its divisors is an integer number (2774655).

Almost surely, 2^459930240 is an apocalyptic number.

459930240 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 459930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065467520).

459930240 is an abundant number, since it is smaller than the sum of its proper divisors (1671004800).

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

459930240 is a wasteful number, since it uses less digits than its factorization.

459930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 459930240 is about 21445.9842394794. The cubic root of 459930240 is about 771.9052386215.

The spelling of 459930240 in words is "four hundred fifty-nine million, nine hundred thirty thousand, two hundred forty".