450224400 has 120 divisors (see below), whose sum is σ = 1469638080. Its totient is φ = 117777920.

The previous prime is 450224371. The next prime is 450224407. The reversal of 450224400 is 4422054.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (450224407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60061 + ... + 67139.

It is an arithmetic number, because the mean of its divisors is an integer number (12246984).

Almost surely, 2^450224400 is an apocalyptic number.

450224400 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 450224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734819040).

450224400 is an abundant number, since it is smaller than the sum of its proper divisors (1019413680).

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

450224400 is a wasteful number, since it uses less digits than its factorization.

450224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 450224400 is about 21218.4919351023. The cubic root of 450224400 is about 766.4367888832.

Adding to 450224400 its reverse (4422054), we get a palindrome (454646454).

The spelling of 450224400 in words is "four hundred fifty million, two hundred twenty-four thousand, four hundred".