1804680400 has 60 divisors (see below), whose sum is σ = 4345257600. Its totient is φ = 720288640.

The previous prime is 1804680391. The next prime is 1804680403. The reversal of 1804680400 is 40864081.

It is a super-2 number, since 2×1804680400² = 6513742692288320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1804680403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186891 + ... + 196309.

It is an arithmetic number, because the mean of its divisors is an integer number (72420960).

Almost surely, 2^1804680400 is an apocalyptic number.

1804680400 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 1804680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172628800).

1804680400 is an abundant number, since it is smaller than the sum of its proper divisors (2540577200).

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

1804680400 is a wasteful number, since it uses less digits than its factorization.

1804680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1804680400 is about 42481.5301042700. The cubic root of 1804680400 is about 1217.4938250470.

The spelling of 1804680400 in words is "one billion, eight hundred four million, six hundred eighty thousand, four hundred".