450504200 has 48 divisors (see below), whose sum is σ = 1052142480. Its totient is φ = 179389760.

The previous prime is 450504149. The next prime is 450504217. The reversal of 450504200 is 2405054.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 40439 + ... + 50361.

It is an arithmetic number, because the mean of its divisors is an integer number (21919635).

Almost surely, 2^450504200 is an apocalyptic number.

450504200 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 450504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526071240).

450504200 is an abundant number, since it is smaller than the sum of its proper divisors (601638280).

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

450504200 is a wasteful number, since it uses less digits than its factorization.

450504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10166 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 450504200 is about 21225.0842165585. The cubic root of 450504200 is about 766.5955279508.

Adding to 450504200 its reverse (2405054), we get a palindrome (452909254).

The spelling of 450504200 in words is "four hundred fifty million, five hundred four thousand, two hundred".