159944400 has 360 divisors, whose sum is σ = 693211584. Its totient is φ = 33177600.

The previous prime is 159944399. The next prime is 159944419. The reversal of 159944400 is 4449951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×159944400² = 51164422182720000, which contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 276912 + ... + 277488.

Almost surely, 2^159944400 is an apocalyptic number.

159944400 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 159944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346605792).

159944400 is an abundant number, since it is smaller than the sum of its proper divisors (533267184).

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

159944400 is a wasteful number, since it uses less digits than its factorization.

159944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159944400 is about 12646.9126667341. The cubic root of 159944400 is about 542.8206320254.

The spelling of 159944400 in words is "one hundred fifty-nine million, nine hundred forty-four thousand, four hundred".