1804189920 has 288 divisors, whose sum is σ = 6428201472. Its totient is φ = 424359936.

The previous prime is 1804189763. The next prime is 1804189931. The reversal of 1804189920 is 299814081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865277 + ... + 1866243.

It is an arithmetic number, because the mean of its divisors is an integer number (22320144).

Almost surely, 2^1804189920 is an apocalyptic number.

1804189920 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 1804189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214100736).

1804189920 is an abundant number, since it is smaller than the sum of its proper divisors (4624011552).

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

1804189920 is a wasteful number, since it uses less digits than its factorization.

1804189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1804189920 is about 42475.7568502316. The cubic root of 1804189920 is about 1217.3835173385.

The spelling of 1804189920 in words is "one billion, eight hundred four million, one hundred eighty-nine thousand, nine hundred twenty".