450133200 has 360 divisors, whose sum is σ = 1771407456. Its totient is φ = 108864000.

The previous prime is 450133193. The next prime is 450133217. The reversal of 450133200 is 2331054.

450133200 is a `hidden beast` number, since 450 + 13 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068990 + ... + 1069410.

Almost surely, 2^450133200 is an apocalyptic number.

450133200 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 450133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885703728).

450133200 is an abundant number, since it is smaller than the sum of its proper divisors (1321274256).

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

450133200 is a wasteful number, since it uses less digits than its factorization.

450133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450133200 is about 21216.3427574123. The cubic root of 450133200 is about 766.3850341320.

Adding to 450133200 its reverse (2331054), we get a palindrome (452464254).

The spelling of 450133200 in words is "four hundred fifty million, one hundred thirty-three thousand, two hundred".