289349424 has 240 divisors, whose sum is σ = 1013935104. Its totient is φ = 74995200.

The previous prime is 289349369. The next prime is 289349441. The reversal of 289349424 is 424943982.

It is a happy number.

289349424 is a `hidden beast` number, since 289 + 349 + 4 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 289349424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930229 + ... + 930539.

Almost surely, 2^289349424 is an apocalyptic number.

289349424 is a gapful number since it is divisible by the number (24) 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 289349424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506967552).

289349424 is an abundant number, since it is smaller than the sum of its proper divisors (724585680).

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

289349424 is a wasteful number, since it uses less digits than its factorization.

289349424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 289349424 is about 17010.2740718661. The cubic root of 289349424 is about 661.4152550738.

The spelling of 289349424 in words is "two hundred eighty-nine million, three hundred forty-nine thousand, four hundred twenty-four".