289667952 has 240 divisors, whose sum is σ = 977104128. Its totient is φ = 78382080.

The previous prime is 289667941. The next prime is 289667969. The reversal of 289667952 is 259766982.

It is a congruent number.

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, 1777023 + ... + 1777185.

Almost surely, 2^289667952 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 289667952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488552064).

289667952 is an abundant number, since it is smaller than the sum of its proper divisors (687436176).

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

289667952 is a wasteful number, since it uses less digits than its factorization.

289667952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 289667952 is about 17019.6343086448. The cubic root of 289667952 is about 661.6578706335.

The spelling of 289667952 in words is "two hundred eighty-nine million, six hundred sixty-seven thousand, nine hundred fifty-two".