1830565440 has 672 divisors, whose sum is σ = 7588788480. Its totient is φ = 413614080.

The previous prime is 1830565433. The next prime is 1830565441. The reversal of 1830565440 is 445650381.

It is a happy number.

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 = 1830565395 and 1830565404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830565441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17772429 + ... + 17772531.

It is an arithmetic number, because the mean of its divisors is an integer number (11292840).

Almost surely, 2^1830565440 is an apocalyptic number.

1830565440 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 1830565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794394240).

1830565440 is an abundant number, since it is smaller than the sum of its proper divisors (5758223040).

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

1830565440 is a wasteful number, since it uses less digits than its factorization.

1830565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1830565440 is about 42785.1076894753. The cubic root of 1830565440 is about 1223.2871666399.

The spelling of 1830565440 in words is "one billion, eight hundred thirty million, five hundred sixty-five thousand, four hundred forty".