1800338400 has 648 divisors, whose sum is σ = 7687789200. Its totient is φ = 411505920.

The previous prime is 1800338389. The next prime is 1800338443. The reversal of 1800338400 is 48330081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 257191197 + ... + 257191203.

Almost surely, 2^1800338400 is an apocalyptic number.

1800338400 is a gapful number since it is divisible by the number (10) 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 1800338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843894600).

1800338400 is an abundant number, since it is smaller than the sum of its proper divisors (5887450800).

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

1800338400 is an frugal number, since it uses more digits than its factorization.

1800338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1800338400 is about 42430.3947660165. The cubic root of 1800338400 is about 1216.5166246031.

Adding to 1800338400 its reverse (48330081), we get a palindrome (1848668481).

The spelling of 1800338400 in words is "one billion, eight hundred million, three hundred thirty-eight thousand, four hundred".