289424960 has 56 divisors (see below), whose sum is σ = 751856256. Its totient is φ = 105244160.

The previous prime is 289424903. The next prime is 289424963. The reversal of 289424960 is 69424982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (289424963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37592 + ... + 44631.

Almost surely, 2^289424960 is an apocalyptic number.

289424960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289424960 is an abundant number, since it is smaller than the sum of its proper divisors (462431296).

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

289424960 is a wasteful number, since it uses less digits than its factorization.

289424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82251 (or 82241 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 289424960 is about 17012.4942321812. The cubic root of 289424960 is about 661.4728052325.

The spelling of 289424960 in words is "two hundred eighty-nine million, four hundred twenty-four thousand, nine hundred sixty".