500345444000 has 96 divisors (see below), whose sum is σ = 1229574200400. Its totient is φ = 200101478400.

The previous prime is 500345443999. The next prime is 500345444023. The reversal of 500345444000 is 444543005.

It can be written as a sum of positive squares in 8 ways, for example, as 739622416 + 499605821584 = 27196^2 + 706828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35708996 + ... + 35723004.

Almost surely, 2^500345444000 is an apocalyptic number.

500345444000 is a gapful number since it is divisible by the number (50) 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 500345444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614787100200).

500345444000 is an abundant number, since it is smaller than the sum of its proper divisors (729228756400).

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

500345444000 is a wasteful number, since it uses less digits than its factorization.

500345444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22963 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 500345444000 its reverse (444543005), we get a palindrome (500789987005).

The spelling of 500345444000 in words is "five hundred billion, three hundred forty-five million, four hundred forty-four thousand".