1830284820 has 288 divisors, whose sum is σ = 7193921280. Its totient is φ = 365783040.

The previous prime is 1830284767. The next prime is 1830284831. The reversal of 1830284820 is 284820381.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308280 + ... + 314160.

Almost surely, 2^1830284820 is an apocalyptic number.

1830284820 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 1830284820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596960640).

1830284820 is an abundant number, since it is smaller than the sum of its proper divisors (5363636460).

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

1830284820 is a wasteful number, since it uses less digits than its factorization.

1830284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1830284820 is about 42781.8281516814. The cubic root of 1830284820 is about 1223.2246547370.

The spelling of 1830284820 in words is "one billion, eight hundred thirty million, two hundred eighty-four thousand, eight hundred twenty".