450004341200 has 120 divisors (see below), whose sum is σ = 1152315264960. Its totient is φ = 168291072000.

The previous prime is 450004341181. The next prime is 450004341203. The reversal of 450004341200 is 2143400054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450004341203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807671 + ... + 1245929.

It is an arithmetic number, because the mean of its divisors is an integer number (9602627208).

Almost surely, 2^450004341200 is an apocalyptic number.

450004341200 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 450004341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576157632480).

450004341200 is an abundant number, since it is smaller than the sum of its proper divisors (702310923760).

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

450004341200 is a wasteful number, since it uses less digits than its factorization.

450004341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438445 (or 438434 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 450004341200 its reverse (2143400054), we get a palindrome (452147741254).

The spelling of 450004341200 in words is "four hundred fifty billion, four million, three hundred forty-one thousand, two hundred".