159728400 has 180 divisors, whose sum is σ = 597115428. Its totient is φ = 39306240.

The previous prime is 159728381. The next prime is 159728407. The reversal of 159728400 is 4827951.

159728400 is a `hidden beast` number, since 1 + 597 + 28 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 159062544 = 816^2 + 12612^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (159728407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45094 + ... + 48506.

Almost surely, 2^159728400 is an apocalyptic number.

159728400 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 159728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298557714).

159728400 is an abundant number, since it is smaller than the sum of its proper divisors (437387028).

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

159728400 is a wasteful number, since it uses less digits than its factorization.

159728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 159728400 is about 12638.3701480848. The cubic root of 159728400 is about 542.5761677477.

The spelling of 159728400 in words is "one hundred fifty-nine million, seven hundred twenty-eight thousand, four hundred".