450045411200 has 384 divisors, whose sum is σ = 1388149367040. Its totient is φ = 140064768000.

The previous prime is 450045411161. The next prime is 450045411217. The reversal of 450045411200 is 2114540054.

It is a self number, because there is not a number n which added to its sum of digits gives 450045411200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293954435 + ... + 293955965.

It is an arithmetic number, because the mean of its divisors is an integer number (3614972310).

Almost surely, 2^450045411200 is an apocalyptic number.

450045411200 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 450045411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694074683520).

450045411200 is an abundant number, since it is smaller than the sum of its proper divisors (938103955840).

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

450045411200 is a wasteful number, since it uses less digits than its factorization.

450045411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 450045411200 its reverse (2114540054), we get a palindrome (452159951254).

The spelling of 450045411200 in words is "four hundred fifty billion, forty-five million, four hundred eleven thousand, two hundred".