159589440 has 280 divisors, whose sum is σ = 584191872. Its totient is φ = 41333760.

The previous prime is 159589439. The next prime is 159589453. The reversal of 159589440 is 44985951.

159589440 is a `hidden beast` number, since 159 + 58 + 9 + 440 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218175 + ... + 1218305.

Almost surely, 2^159589440 is an apocalyptic number.

159589440 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 159589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292095936).

159589440 is an abundant number, since it is smaller than the sum of its proper divisors (424602432).

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

159589440 is a wasteful number, since it uses less digits than its factorization.

159589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 159589440 is about 12632.8714075621. The cubic root of 159589440 is about 542.4187792073.

The spelling of 159589440 in words is "one hundred fifty-nine million, five hundred eighty-nine thousand, four hundred forty".