1830480444 has 240 divisors, whose sum is σ = 5506855200. Its totient is φ = 525533184.

The previous prime is 1830480419. The next prime is 1830480473. The reversal of 1830480444 is 4440840381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1830480399 and 1830480408.

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 79 ways as a sum of consecutive naturals, for example, 7122364 + ... + 7122620.

It is an arithmetic number, because the mean of its divisors is an integer number (22945230).

Almost surely, 2^1830480444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830480444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753427600).

1830480444 is an abundant number, since it is smaller than the sum of its proper divisors (3676374756).

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

1830480444 is a wasteful number, since it uses less digits than its factorization.

1830480444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1830480444 is about 42784.1143884036. The cubic root of 1830480444 is about 1223.2682333051.

The spelling of 1830480444 in words is "one billion, eight hundred thirty million, four hundred eighty thousand, four hundred forty-four".