450344254400 has 168 divisors, whose sum is σ = 1118141700720. Its totient is φ = 178513920000.

The previous prime is 450344254397. The next prime is 450344254429. The reversal of 450344254400 is 4452443054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251728706 + ... + 251730494.

Almost surely, 2^450344254400 is an apocalyptic number.

450344254400 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 450344254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559070850360).

450344254400 is an abundant number, since it is smaller than the sum of its proper divisors (667797446320).

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

450344254400 is a wasteful number, since it uses less digits than its factorization.

450344254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 450344254400 its reverse (4452443054), we get a palindrome (454796697454).

The spelling of 450344254400 in words is "four hundred fifty billion, three hundred forty-four million, two hundred fifty-four thousand, four hundred".