459652481920 has 64 divisors (see below), whose sum is σ = 1099654525440. Its totient is φ = 183727503360.

The previous prime is 459652481881. The next prime is 459652481963. The reversal of 459652481920 is 29184256954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×459652481920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623809 + ... + 1143871.

It is an arithmetic number, because the mean of its divisors is an integer number (17182101960).

Almost surely, 2^459652481920 is an apocalyptic number.

459652481920 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 459652481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549827262720).

459652481920 is an abundant number, since it is smaller than the sum of its proper divisors (640002043520).

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

459652481920 is a wasteful number, since it uses less digits than its factorization.

459652481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521463 (or 521451 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 459652481920 in words is "four hundred fifty-nine billion, six hundred fifty-two million, four hundred eighty-one thousand, nine hundred twenty".