1830923440 has 80 divisors (see below), whose sum is σ = 4311724032. Its totient is φ = 723002112.

The previous prime is 1830923431. The next prime is 1830923447. The reversal of 1830923440 is 443290381.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1830923396 and 1830923405.

It is not an unprimeable number, because it can be changed into a prime (1830923447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3118827 + ... + 3119413.

Almost surely, 2^1830923440 is an apocalyptic number.

1830923440 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 1830923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155862016).

1830923440 is an abundant number, since it is smaller than the sum of its proper divisors (2480800592).

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

1830923440 is a wasteful number, since it uses less digits than its factorization.

1830923440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1830923440 is about 42789.2911836595. The cubic root of 1830923440 is about 1223.3669067119.

The spelling of 1830923440 in words is "one billion, eight hundred thirty million, nine hundred twenty-three thousand, four hundred forty".