159009480 has 448 divisors, whose sum is σ = 661046400. Its totient is φ = 33592320.

The previous prime is 159009469. The next prime is 159009547. The reversal of 159009480 is 84900951.

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

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 111 ways as a sum of consecutive naturals, for example, 3878260 + ... + 3878300.

It is an arithmetic number, because the mean of its divisors is an integer number (1475550).

Almost surely, 2^159009480 is an apocalyptic number.

159009480 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 159009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330523200).

159009480 is an abundant number, since it is smaller than the sum of its proper divisors (502036920).

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

159009480 is a wasteful number, since it uses less digits than its factorization.

159009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 159009480 is about 12609.8961137672. The cubic root of 159009480 is about 541.7609181421.

The spelling of 159009480 in words is "one hundred fifty-nine million, nine thousand, four hundred eighty".