450443893200 has 480 divisors, whose sum is σ = 1749173760000. Its totient is φ = 96729292800.

The previous prime is 450443893199. The next prime is 450443893201. The reversal of 450443893200 is 2398344054.

It is an interprime number because it is at equal distance from previous prime (450443893199) and next prime (450443893201).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450443893201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90104301 + ... + 90109299.

It is an arithmetic number, because the mean of its divisors is an integer number (3644112000).

Almost surely, 2^450443893200 is an apocalyptic number.

450443893200 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 450443893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874586880000).

450443893200 is an abundant number, since it is smaller than the sum of its proper divisors (1298729866800).

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

450443893200 is a wasteful number, since it uses less digits than its factorization.

450443893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 450443893200 in words is "four hundred fifty billion, four hundred forty-three million, eight hundred ninety-three thousand, two hundred".