1849200840 has 576 divisors, whose sum is σ = 7189378560. Its totient is φ = 425502720.

The previous prime is 1849200827. The next prime is 1849200841. The reversal of 1849200840 is 480029481.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1849200795 and 1849200804.

It is not an unprimeable number, because it can be changed into a prime (1849200841) 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 143 ways as a sum of consecutive naturals, for example, 59651625 + ... + 59651655.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^1849200840 is an apocalyptic number.

1849200840 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 1849200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

1849200840 is an abundant number, since it is smaller than the sum of its proper divisors (5340177720).

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

1849200840 is a wasteful number, since it uses less digits than its factorization.

1849200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1849200840 is about 43002.3352854237. The cubic root of 1849200840 is about 1227.4242350329.

The spelling of 1849200840 in words is "one billion, eight hundred forty-nine million, two hundred thousand, eight hundred forty".