459116329 has 9 divisors (see below), whose sum is σ = 534248631. Its totient is φ = 393399720.

The previous prime is 459116309. The next prime is 459116381. The reversal of 459116329 is 923611954.

The square root of 459116329 is 21427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 437771929 + 21344400 = 20923^2 + 4620^2 .

It is not a de Polignac number, because 459116329 - 2¹¹ = 459114281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 459116291 and 459116300.

It is not an unprimeable number, because it can be changed into a prime (459116309) 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 8 ways as a sum of consecutive naturals, for example, 148459 + ... + 151519.

It is an arithmetic number, because the mean of its divisors is an integer number (59360959).

Almost surely, 2^459116329 is an apocalyptic number.

459116329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

459116329 is the 21427-th square number.

459116329 is the 10714-th centered octagonal number.

It is an amenable number.

459116329 is a deficient number, since it is larger than the sum of its proper divisors (75132302).

459116329 is an frugal number, since it uses more digits than its factorization.

459116329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 3068 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The cubic root of 459116329 is about 771.4496382760.

The spelling of 459116329 in words is "four hundred fifty-nine million, one hundred sixteen thousand, three hundred twenty-nine".