451441800 has 144 divisors (see below), whose sum is σ = 1605382740. Its totient is φ = 113295360.

The previous prime is 451441789. The next prime is 451441813. The reversal of 451441800 is 8144154.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 226261764 + 225180036 = 15042^2 + 15006^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23224 + ... + 37976.

Almost surely, 2^451441800 is an apocalyptic number.

451441800 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 451441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802691370).

451441800 is an abundant number, since it is smaller than the sum of its proper divisors (1153940940).

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

451441800 is a wasteful number, since it uses less digits than its factorization.

451441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 451441800 is about 21247.1598101958. The cubic root of 451441800 is about 767.1269783490.

Adding to 451441800 its reverse (8144154), we get a palindrome (459585954).

The spelling of 451441800 in words is "four hundred fifty-one million, four hundred forty-one thousand, eight hundred".