1840413792 has 96 divisors (see below), whose sum is σ = 5552112384. Its totient is φ = 522892800.

The previous prime is 1840413787. The next prime is 1840413811. The reversal of 1840413792 is 2973140481.

1840413792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1840413792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114067 + ... + 129197.

It is an arithmetic number, because the mean of its divisors is an integer number (57834504).

Almost surely, 2^1840413792 is an apocalyptic number.

1840413792 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 1840413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776056192).

1840413792 is an abundant number, since it is smaller than the sum of its proper divisors (3711698592).

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

1840413792 is a wasteful number, since it uses less digits than its factorization.

1840413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15332 (or 15324 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1840413792 is about 42900.0441957814. The cubic root of 1840413792 is about 1225.4769858719.

The spelling of 1840413792 in words is "one billion, eight hundred forty million, four hundred thirteen thousand, seven hundred ninety-two".