1838439456 has 144 divisors (see below), whose sum is σ = 5713815744. Its totient is φ = 506999808.

The previous prime is 1838439443. The next prime is 1838439457. The reversal of 1838439456 is 6549348381.

It is a junction number, because it is equal to n+sod(n) for n = 1838439399 and 1838439408.

It is not an unprimeable number, because it can be changed into a prime (1838439457) 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 23 ways as a sum of consecutive naturals, for example, 563526 + ... + 566778.

It is an arithmetic number, because the mean of its divisors is an integer number (39679276).

Almost surely, 2^1838439456 is an apocalyptic number.

1838439456 is a gapful number since it is divisible by the number (16) 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 1838439456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856907872).

1838439456 is an abundant number, since it is smaller than the sum of its proper divisors (3875376288).

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

1838439456 is a wasteful number, since it uses less digits than its factorization.

1838439456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3294 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 1838439456 is about 42877.0271357518. The cubic root of 1838439456 is about 1225.0386118053.

The spelling of 1838439456 in words is "one billion, eight hundred thirty-eight million, four hundred thirty-nine thousand, four hundred fifty-six".