1803201400 has 192 divisors, whose sum is σ = 5629639680. Its totient is φ = 518745600.

The previous prime is 1803201349. The next prime is 1803201461. The reversal of 1803201400 is 41023081.

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 47 ways as a sum of consecutive naturals, for example, 195697 + ... + 204703.

It is an arithmetic number, because the mean of its divisors is an integer number (29321040).

Almost surely, 2^1803201400 is an apocalyptic number.

1803201400 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 1803201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814819840).

1803201400 is an abundant number, since it is smaller than the sum of its proper divisors (3826438280).

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

1803201400 is a wasteful number, since it uses less digits than its factorization.

1803201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1803201400 is about 42464.1189711973. The cubic root of 1803201400 is about 1217.1611409336.

Adding to 1803201400 its reverse (41023081), we get a palindrome (1844224481).

It can be divided in two parts, 1803 and 201400, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 1803201400 in words is "one billion, eight hundred three million, two hundred one thousand, four hundred".