289934496 has 144 divisors (see below), whose sum is σ = 851497920. Its totient is φ = 93542400.

The previous prime is 289934483. The next prime is 289934501. The reversal of 289934496 is 694439982.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 1920021 + ... + 1920171.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2^289934496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425748960).

289934496 is an abundant number, since it is smaller than the sum of its proper divisors (561563424).

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

289934496 is a wasteful number, since it uses less digits than its factorization.

289934496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 289934496 is about 17027.4629936465. The cubic root of 289934496 is about 661.8607545078.

It can be divided in two parts, 28993 and 4496, that added together give a square (33489 = 183²).

The spelling of 289934496 in words is "two hundred eighty-nine million, nine hundred thirty-four thousand, four hundred ninety-six".