289643904 has 256 divisors, whose sum is σ = 984096000. Its totient is φ = 82944000.

The previous prime is 289643869. The next prime is 289643911. The reversal of 289643904 is 409346982.

It is a super-2 number, since 2×289643904² = 167787182248722432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 289643904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722104 + ... + 722504.

It is an arithmetic number, because the mean of its divisors is an integer number (3844125).

Almost surely, 2^289643904 is an apocalyptic number.

289643904 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 289643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492048000).

289643904 is an abundant number, since it is smaller than the sum of its proper divisors (694452096).

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

289643904 is a wasteful number, since it uses less digits than its factorization.

289643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 289643904 is about 17018.9278158173. The cubic root of 289643904 is about 661.6395600257.

The spelling of 289643904 in words is "two hundred eighty-nine million, six hundred forty-three thousand, nine hundred four".