1803134400 has 168 divisors, whose sum is σ = 6016995840. Its totient is φ = 472611840.

The previous prime is 1803134387. The next prime is 1803134401. The reversal of 1803134400 is 44313081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803134401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280017 + ... + 286383.

Almost surely, 2^1803134400 is an apocalyptic number.

1803134400 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 1803134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008497920).

1803134400 is an abundant number, since it is smaller than the sum of its proper divisors (4213861440).

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

1803134400 is a wasteful number, since it uses less digits than its factorization.

1803134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1803134400 is about 42463.3300625375. The cubic root of 1803134400 is about 1217.1460657444.

Adding to 1803134400 its reverse (44313081), we get a palindrome (1847447481).

The spelling of 1803134400 in words is "one billion, eight hundred three million, one hundred thirty-four thousand, four hundred".