1803409920 has 480 divisors, whose sum is σ = 7006551552. Its totient is φ = 441925632.

The previous prime is 1803409919. The next prime is 1803409957. The reversal of 1803409920 is 299043081.

1803409920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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, 8086929 + ... + 8087151.

Almost surely, 2^1803409920 is an apocalyptic number.

1803409920 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 1803409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503275776).

1803409920 is an abundant number, since it is smaller than the sum of its proper divisors (5203141632).

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

1803409920 is an equidigital number, since it uses as much as digits as its factorization.

1803409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1803409920 is about 42466.5741495591. The cubic root of 1803409920 is about 1217.2080561328.

The spelling of 1803409920 in words is "one billion, eight hundred three million, four hundred nine thousand, nine hundred twenty".