1842408792 has 96 divisors (see below), whose sum is σ = 5758222080. Its totient is φ = 521277120.

The previous prime is 1842408791. The next prime is 1842408817. The reversal of 1842408792 is 2978042481.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842408791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34167 + ... + 69657.

It is an arithmetic number, because the mean of its divisors is an integer number (59981480).

Almost surely, 2^1842408792 is an apocalyptic number.

1842408792 is a gapful number since it is divisible by the number (12) 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 1842408792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879111040).

1842408792 is an abundant number, since it is smaller than the sum of its proper divisors (3915813288).

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

1842408792 is a wasteful number, since it uses less digits than its factorization.

1842408792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35613 (or 35606 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1842408792 is about 42923.2896223018. The cubic root of 1842408792 is about 1225.9196297555.

The spelling of 1842408792 in words is "one billion, eight hundred forty-two million, four hundred eight thousand, seven hundred ninety-two".