450433641400 has 192 divisors, whose sum is σ = 1090910177280. Its totient is φ = 172819008000.

The previous prime is 450433641397. The next prime is 450433641407. The reversal of 450433641400 is 4146334054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450433641407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176570125 + ... + 176572675.

It is an arithmetic number, because the mean of its divisors is an integer number (5681823840).

Almost surely, 2^450433641400 is an apocalyptic number.

450433641400 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 450433641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545455088640).

450433641400 is an abundant number, since it is smaller than the sum of its proper divisors (640476535880).

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

450433641400 is a wasteful number, since it uses less digits than its factorization.

450433641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 450433641400 its reverse (4146334054), we get a palindrome (454579975454).

The spelling of 450433641400 in words is "four hundred fifty billion, four hundred thirty-three million, six hundred forty-one thousand, four hundred".