450530525200 has 480 divisors, whose sum is σ = 1330977312000. Its totient is φ = 143052963840.

The previous prime is 450530525177. The next prime is 450530525213. The reversal of 450530525200 is 2525035054.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985843372 + ... + 985843828.

It is an arithmetic number, because the mean of its divisors is an integer number (2772869400).

Almost surely, 2^450530525200 is an apocalyptic number.

450530525200 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 450530525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665488656000).

450530525200 is an abundant number, since it is smaller than the sum of its proper divisors (880446786800).

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

450530525200 is a wasteful number, since it uses less digits than its factorization.

450530525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The spelling of 450530525200 in words is "four hundred fifty billion, five hundred thirty million, five hundred twenty-five thousand, two hundred".