450643200 has 324 divisors, whose sum is σ = 1733639040. Its totient is φ = 102789120.

The previous prime is 450643133. The next prime is 450643201. The reversal of 450643200 is 2346054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450643201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940561 + ... + 941039.

Almost surely, 2^450643200 is an apocalyptic number.

450643200 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 450643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866819520).

450643200 is an abundant number, since it is smaller than the sum of its proper divisors (1282995840).

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

450643200 is a wasteful number, since it uses less digits than its factorization.

450643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 450643200 is about 21228.3583915478. The cubic root of 450643200 is about 766.6743624516.

Adding to 450643200 its reverse (2346054), we get a palindrome (452989254).

The spelling of 450643200 in words is "four hundred fifty million, six hundred forty-three thousand, two hundred".