459047680 has 216 divisors, whose sum is σ = 1379920752. Its totient is φ = 145022976.

The previous prime is 459047669. The next prime is 459047689. The reversal of 459047680 is 86740954.

It is not an unprimeable number, because it can be changed into a prime (459047689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815079 + ... + 815641.

It is an arithmetic number, because the mean of its divisors is an integer number (6388522).

Almost surely, 2^459047680 is an apocalyptic number.

459047680 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 459047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689960376).

459047680 is an abundant number, since it is smaller than the sum of its proper divisors (920873072).

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

459047680 is a wasteful number, since it uses less digits than its factorization.

459047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 459047680 is about 21425.3980126391. The cubic root of 459047680 is about 771.4111862305.

The spelling of 459047680 in words is "four hundred fifty-nine million, forty-seven thousand, six hundred eighty".