450027200 has 168 divisors, whose sum is σ = 1321320192. Its totient is φ = 147502080.

The previous prime is 450027169. The next prime is 450027211. The reversal of 450027200 is 2720054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256727 + ... + 258473.

Almost surely, 2^450027200 is an apocalyptic number.

450027200 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 450027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660660096).

450027200 is an abundant number, since it is smaller than the sum of its proper divisors (871292992).

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

450027200 is a wasteful number, since it uses less digits than its factorization.

450027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 450027200 is about 21213.8445360571. The cubic root of 450027200 is about 766.3248717985.

Adding to 450027200 its reverse (2720054), we get a palindrome (452747254).

The spelling of 450027200 in words is "four hundred fifty million, twenty-seven thousand, two hundred".