1842849792 has 432 divisors, whose sum is σ = 6594325920. Its totient is φ = 503635968.

The previous prime is 1842849761. The next prime is 1842849797. The reversal of 1842849792 is 2979482481.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1842849797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80123893 + ... + 80123915.

Almost surely, 2^1842849792 is an apocalyptic number.

1842849792 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 1842849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297162960).

1842849792 is an abundant number, since it is smaller than the sum of its proper divisors (4751476128).

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

1842849792 is an frugal number, since it uses more digits than its factorization.

1842849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 35 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1842849792 is about 42928.4263862537. The cubic root of 1842849792 is about 1226.0174342220.

The spelling of 1842849792 in words is "one billion, eight hundred forty-two million, eight hundred forty-nine thousand, seven hundred ninety-two".