459973912320 has 1728 divisors, whose sum is σ = 1969469873280. Its totient is φ = 97844723712.

The previous prime is 459973912289. The next prime is 459973912403. The reversal of 459973912320 is 23219379954.

459973912320 is a `hidden beast` number, since 4 + 599 + 7 + 3 + 9 + 1 + 23 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1789781632 + ... + 1789781888.

It is an arithmetic number, because the mean of its divisors is an integer number (1139739510).

Almost surely, 2^459973912320 is an apocalyptic number.

459973912320 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 459973912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984734936640).

459973912320 is an abundant number, since it is smaller than the sum of its proper divisors (1509495960960).

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

459973912320 is a wasteful number, since it uses less digits than its factorization.

459973912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 459973912320 in words is "four hundred fifty-nine billion, nine hundred seventy-three million, nine hundred twelve thousand, three hundred twenty".