459040350469600 has 288 divisors, whose sum is σ = 1160858613731040. Its totient is φ = 177042518016000.

The previous prime is 459040350469553. The next prime is 459040350469609. The reversal of 459040350469600 is 6964053040954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459040350469609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67895330220 + ... + 67895336980.

It is an arithmetic number, because the mean of its divisors is an integer number (4030759075455).

Almost surely, 2^{459040350469600} is an apocalyptic number.

459040350469600 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 459040350469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580429306865520).

459040350469600 is an abundant number, since it is smaller than the sum of its proper divisors (701818263261440).

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

459040350469600 is a wasteful number, since it uses less digits than its factorization.

459040350469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 459040350469600 in words is "four hundred fifty-nine trillion, forty billion, three hundred fifty million, four hundred sixty-nine thousand, six hundred".