459716500320 has 576 divisors, whose sum is σ = 1914884375040. Its totient is φ = 90496327680.

The previous prime is 459716500319. The next prime is 459716500351. The reversal of 459716500320 is 23005617954.

It is a super-2 number, since 2×459716500320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7694884 + ... + 7754396.

It is an arithmetic number, because the mean of its divisors is an integer number (3324452040).

Almost surely, 2^459716500320 is an apocalyptic number.

459716500320 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 459716500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957442187520).

459716500320 is an abundant number, since it is smaller than the sum of its proper divisors (1455167874720).

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

459716500320 is a wasteful number, since it uses less digits than its factorization.

459716500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59579 (or 59560 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 459716500320 in words is "four hundred fifty-nine billion, seven hundred sixteen million, five hundred thousand, three hundred twenty".