459438840000 has 840 divisors, whose sum is σ = 1889748811808. Its totient is φ = 104509440000.

The previous prime is 459438839999. The next prime is 459438840011. The reversal of 459438840000 is 48834954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×459438840000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 849239730 + ... + 849240270.

Almost surely, 2^459438840000 is an apocalyptic number.

459438840000 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 459438840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944874405904).

459438840000 is an abundant number, since it is smaller than the sum of its proper divisors (1430309971808).

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

459438840000 is a wasteful number, since it uses less digits than its factorization.

459438840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 459438840000 in words is "four hundred fifty-nine billion, four hundred thirty-eight million, eight hundred forty thousand".