1830433220 has 192 divisors, whose sum is σ = 4954521600. Its totient is φ = 563068800.

The previous prime is 1830433207. The next prime is 1830433261. The reversal of 1830433220 is 223340381.

It is a self number, because there is not a number n which added to its sum of digits gives 1830433220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9583325 + ... + 9583515.

It is an arithmetic number, because the mean of its divisors is an integer number (25804800).

Almost surely, 2^1830433220 is an apocalyptic number.

1830433220 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 1830433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477260800).

1830433220 is an abundant number, since it is smaller than the sum of its proper divisors (3124088380).

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

1830433220 is a wasteful number, since it uses less digits than its factorization.

1830433220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1830433220 is about 42783.5624977631. The cubic root of 1830433220 is about 1223.2577136414.

The spelling of 1830433220 in words is "one billion, eight hundred thirty million, four hundred thirty-three thousand, two hundred twenty".