1803840480 has 288 divisors, whose sum is σ = 6680366784. Its totient is φ = 440598528.

The previous prime is 1803840463. The next prime is 1803840491. The reversal of 1803840480 is 840483081.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125952 + ... + 3126528.

It is an arithmetic number, because the mean of its divisors is an integer number (23195718).

Almost surely, 2^1803840480 is an apocalyptic number.

1803840480 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 1803840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340183392).

1803840480 is an abundant number, since it is smaller than the sum of its proper divisors (4876526304).

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

1803840480 is a wasteful number, since it uses less digits than its factorization.

1803840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1803840480 is about 42471.6432458176. The cubic root of 1803840480 is about 1217.3049169726.

The spelling of 1803840480 in words is "one billion, eight hundred three million, eight hundred forty thousand, four hundred eighty".