1830000900 has 144 divisors (see below), whose sum is σ = 6516777344. Its totient is φ = 386104320.

The previous prime is 1830000889. The next prime is 1830000917. The reversal of 1830000900 is 90000381.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 6217 + ... + 60816.

Almost surely, 2^1830000900 is an apocalyptic number.

1830000900 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 1830000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258388672).

1830000900 is an abundant number, since it is smaller than the sum of its proper divisors (4686776444).

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

1830000900 is a wasteful number, since it uses less digits than its factorization.

1830000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67070 (or 67063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1830000900 is about 42778.5097917167. The cubic root of 1830000900 is about 1223.1614012113.

The spelling of 1830000900 in words is "one billion, eight hundred thirty million, nine hundred", and thus it is an aban number.