453141200 has 60 divisors (see below), whose sum is σ = 1096750860. Its totient is φ = 179911680.

The previous prime is 453141191. The next prime is 453141217. The reversal of 453141200 is 2141354.

It can be written as a sum of positive squares in 6 ways, for example, as 10291264 + 442849936 = 3208^2 + 21044^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50666 + ... + 58934.

It is an arithmetic number, because the mean of its divisors is an integer number (18279181).

Almost surely, 2^453141200 is an apocalyptic number.

453141200 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 453141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548375430).

453141200 is an abundant number, since it is smaller than the sum of its proper divisors (643609660).

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

453141200 is a wasteful number, since it uses less digits than its factorization.

453141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 453141200 is about 21287.1134727093. The cubic root of 453141200 is about 768.0883596977.

Adding to 453141200 its reverse (2141354), we get a palindrome (455282554).

The spelling of 453141200 in words is "four hundred fifty-three million, one hundred forty-one thousand, two hundred".