159808400 has 90 divisors (see below), whose sum is σ = 394134930. Its totient is φ = 62261760.

The previous prime is 159808399. The next prime is 159808417. The reversal of 159808400 is 4808951.

It can be written as a sum of positive squares in 3 ways, for example, as 1149184 + 158659216 = 1072^2 + 12596^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1795556 + ... + 1795644.

It is an arithmetic number, because the mean of its divisors is an integer number (4379277).

Almost surely, 2^159808400 is an apocalyptic number.

159808400 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 159808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197067465).

159808400 is an abundant number, since it is smaller than the sum of its proper divisors (234326530).

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

159808400 is an equidigital number, since it uses as much as digits as its factorization.

159808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 159808400 is about 12641.5347169558. The cubic root of 159808400 is about 542.6667357552. Note that the first 3 decimals are identical.

The spelling of 159808400 in words is "one hundred fifty-nine million, eight hundred eight thousand, four hundred".