289613904 has 120 divisors (see below), whose sum is σ = 825447168. Its totient is φ = 87106560.

The previous prime is 289613897. The next prime is 289613927. The reversal of 289613904 is 409316982.

289613904 = T₁₄₉ + T₁₅₀ + ... + T₁₂₀₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706619 + ... + 2706725.

Almost surely, 2^289613904 is an apocalyptic number.

289613904 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 289613904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412723584).

289613904 is an abundant number, since it is smaller than the sum of its proper divisors (535833264).

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

289613904 is a wasteful number, since it uses less digits than its factorization.

289613904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 289613904 is about 17018.0464213728. The cubic root of 289613904 is about 661.6167160302.

The spelling of 289613904 in words is "two hundred eighty-nine million, six hundred thirteen thousand, nine hundred four".