459097038400 has 1344 divisors, whose sum is σ = 1611272871936. Its totient is φ = 125118259200.

The previous prime is 459097038347. The next prime is 459097038419. The reversal of 459097038400 is 4830790954.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4457252749 + ... + 4457252851.

It is an arithmetic number, because the mean of its divisors is an integer number (1198863744).

Almost surely, 2^459097038400 is an apocalyptic number.

459097038400 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 459097038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805636435968).

459097038400 is an abundant number, since it is smaller than the sum of its proper divisors (1152175833536).

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

459097038400 is a wasteful number, since it uses less digits than its factorization.

459097038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 459097038400 in words is "four hundred fifty-nine billion, ninety-seven million, thirty-eight thousand, four hundred".