450345200 has 60 divisors (see below), whose sum is σ = 1084630728. Its totient is φ = 179692800.

The previous prime is 450345197. The next prime is 450345223. The reversal of 450345200 is 2543054.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 195254 + ... + 197546.

Almost surely, 2^450345200 is an apocalyptic number.

450345200 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 450345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542315364).

450345200 is an abundant number, since it is smaller than the sum of its proper divisors (634285528).

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

450345200 is a wasteful number, since it uses less digits than its factorization.

450345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 450345200 is about 21221.3383178347. The cubic root of 450345200 is about 766.5053304703.

Adding to 450345200 its reverse (2543054), we get a palindrome (452888254).

The spelling of 450345200 in words is "four hundred fifty million, three hundred forty-five thousand, two hundred".