450115222200 has 192 divisors, whose sum is σ = 1603045969920. Its totient is φ = 102344640000.

The previous prime is 450115222181. The next prime is 450115222237. The reversal of 450115222200 is 2222511054.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 521650 + ... + 1082750.

It is an arithmetic number, because the mean of its divisors is an integer number (8349197760).

Almost surely, 2^450115222200 is an apocalyptic number.

450115222200 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 450115222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801522984960).

450115222200 is an abundant number, since it is smaller than the sum of its proper divisors (1152930747720).

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

450115222200 is a wasteful number, since it uses less digits than its factorization.

450115222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561318 (or 561309 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 450115222200 its reverse (2222511054), we get a palindrome (452337733254).

The spelling of 450115222200 in words is "four hundred fifty billion, one hundred fifteen million, two hundred twenty-two thousand, two hundred".