1843200000 has 306 divisors, whose sum is σ = 6655523238. Its totient is φ = 491520000.

The previous prime is 1843199971. The next prime is 1843200001. The reversal of 1843200000 is 23481.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 851705856 + 991494144 = 29184^2 + 31488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1843200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 368639998 + ... + 368640002.

Almost surely, 2^1843200000 is an apocalyptic number.

1843200000 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 1843200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327761619).

1843200000 is an abundant number, since it is smaller than the sum of its proper divisors (4812323238).

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

1843200000 is an frugal number, since it uses more digits than its factorization.

1843200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1843200000 is about 42932.5051679960. The cubic root of 1843200000 is about 1226.0950918297.

1843200000 divided by its sum of digits (18) gives a 5-th power (102400000 = 40⁵).

Adding to 1843200000 its reverse (23481), we get a palindrome (1843223481).

It can be divided in two parts, 18 and 43200000, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 1843200000 in words is "one billion, eight hundred forty-three million, two hundred thousand".