450256200 has 96 divisors (see below), whose sum is σ = 1422230400. Its totient is φ = 117794560.

The previous prime is 450256181. The next prime is 450256229. The reversal of 450256200 is 2652054.

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

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, 24721 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (14814900).

Almost surely, 2^450256200 is an apocalyptic number.

450256200 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 450256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711115200).

450256200 is an abundant number, since it is smaller than the sum of its proper divisors (971974200).

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

450256200 is a wasteful number, since it uses less digits than its factorization.

450256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450256200 is about 21219.2412682452. The cubic root of 450256200 is about 766.4548333044.

The spelling of 450256200 in words is "four hundred fifty million, two hundred fifty-six thousand, two hundred".