1801385200 has 120 divisors (see below), whose sum is σ = 4553387136. Its totient is φ = 683904000.

The previous prime is 1801385191. The next prime is 1801385203. The reversal of 1801385200 is 25831081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801385203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 655830 + ... + 658570.

Almost surely, 2^1801385200 is an apocalyptic number.

1801385200 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 1801385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276693568).

1801385200 is an abundant number, since it is smaller than the sum of its proper divisors (2752001936).

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

1801385200 is a wasteful number, since it uses less digits than its factorization.

1801385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1801385200 is about 42442.7284702574. The cubic root of 1801385200 is about 1216.7523585940.

The spelling of 1801385200 in words is "one billion, eight hundred one million, three hundred eighty-five thousand, two hundred".