459220320 has 576 divisors, whose sum is σ = 1892600640. Its totient is φ = 103514112.

The previous prime is 459220273. The next prime is 459220327. The reversal of 459220320 is 23022954.

459220320 is a `hidden beast` number, since 459 + 2 + 203 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459220327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12411342 + ... + 12411378.

It is an arithmetic number, because the mean of its divisors is an integer number (3285765).

Almost surely, 2^459220320 is an apocalyptic number.

459220320 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 459220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946300320).

459220320 is an abundant number, since it is smaller than the sum of its proper divisors (1433380320).

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

459220320 is a wasteful number, since it uses less digits than its factorization.

459220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 459220320 is about 21429.4264972257. The cubic root of 459220320 is about 771.5078789716.

The spelling of 459220320 in words is "four hundred fifty-nine million, two hundred twenty thousand, three hundred twenty".