450115890000 has 800 divisors, whose sum is σ = 1767550202880. Its totient is φ = 96380928000.

The previous prime is 450115889999. The next prime is 450115890067. The reversal of 450115890000 is 98511054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 387029419 + ... + 387030581.

Almost surely, 2^450115890000 is an apocalyptic number.

450115890000 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 450115890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883775101440).

450115890000 is an abundant number, since it is smaller than the sum of its proper divisors (1317434312880).

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

450115890000 is a wasteful number, since it uses less digits than its factorization.

450115890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 450115890000 in words is "four hundred fifty billion, one hundred fifteen million, eight hundred ninety thousand".