1808998400 has 252 divisors, whose sum is σ = 4998486066. Its totient is φ = 648806400.

The previous prime is 1808998393. The next prime is 1808998427. The reversal of 1808998400 is 48998081.

It can be written as a sum of positive squares in 3 ways, for example, as 1392185344 + 416813056 = 37312^2 + 20416^2 .

It is a super-2 number, since 2×1808998400² = 6544950422405120000, which contains 22 as substring.

It is an unprimeable number.

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, 24780764 + ... + 24780836.

Almost surely, 2^1808998400 is an apocalyptic number.

1808998400 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 1808998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499243033).

1808998400 is an abundant number, since it is smaller than the sum of its proper divisors (3189487666).

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

1808998400 is an equidigital number, since it uses as much as digits as its factorization.

1808998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The square root of 1808998400 is about 42532.3218270529. The cubic root of 1808998400 is about 1218.4640709033.

The spelling of 1808998400 in words is "one billion, eight hundred eight million, nine hundred ninety-eight thousand, four hundred".