1830904020 has 384 divisors, whose sum is σ = 6559580160. Its totient is φ = 419904000.

The previous prime is 1830903953. The next prime is 1830904037. The reversal of 1830904020 is 204090381.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 11232459 + ... + 11232621.

It is an arithmetic number, because the mean of its divisors is an integer number (17082240).

Almost surely, 2^1830904020 is an apocalyptic number.

1830904020 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 1830904020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279790080).

1830904020 is an abundant number, since it is smaller than the sum of its proper divisors (4728676140).

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

1830904020 is a wasteful number, since it uses less digits than its factorization.

1830904020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1830904020 is about 42789.0642571207. The cubic root of 1830904020 is about 1223.3625814137.

The spelling of 1830904020 in words is "one billion, eight hundred thirty million, nine hundred four thousand, twenty".