159416400 has 240 divisors, whose sum is σ = 600586560. Its totient is φ = 35635200.

The previous prime is 159416377. The next prime is 159416401. The reversal of 159416400 is 4614951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159416401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171136 + ... + 172064.

It is an arithmetic number, because the mean of its divisors is an integer number (2502444).

Almost surely, 2^159416400 is an apocalyptic number.

159416400 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 159416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

159416400 is an abundant number, since it is smaller than the sum of its proper divisors (441170160).

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

159416400 is a wasteful number, since it uses less digits than its factorization.

159416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 159416400 is about 12626.0207508146. The cubic root of 159416400 is about 542.2226632871. Note that the first 3 decimals are identical.

The spelling of 159416400 in words is "one hundred fifty-nine million, four hundred sixteen thousand, four hundred".