459641664 has 84 divisors (see below), whose sum is σ = 1329748420. Its totient is φ = 151787520.

The previous prime is 459641647. The next prime is 459641669. The reversal of 459641664 is 466146954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106502400 + 353139264 = 10320^2 + 18792^2 .

It is a super-2 number, since 2×459641664² = 422540918569377792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459641669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59124 + ... + 66444.

Almost surely, 2^459641664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664874210).

459641664 is an abundant number, since it is smaller than the sum of its proper divisors (870106756).

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

459641664 is a wasteful number, since it uses less digits than its factorization.

459641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7435 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 459641664 is about 21439.2552109442. The cubic root of 459641664 is about 771.7437649090.

The spelling of 459641664 in words is "four hundred fifty-nine million, six hundred forty-one thousand, six hundred sixty-four".