459628980800 has 336 divisors, whose sum is σ = 1281336649920. Its totient is φ = 160742400000.

The previous prime is 459628980793. The next prime is 459628980817. The reversal of 459628980800 is 8089826954.

It is a super-2 number, since 2×459628980800² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459628980800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141379175 + ... + 141382425.

Almost surely, 2^459628980800 is an apocalyptic number.

459628980800 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 459628980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640668324960).

459628980800 is an abundant number, since it is smaller than the sum of its proper divisors (821707669120).

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

459628980800 is a wasteful number, since it uses less digits than its factorization.

459628980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 459628980800 in words is "four hundred fifty-nine billion, six hundred twenty-eight million, nine hundred eighty thousand, eight hundred".