289714656 has 216 divisors, whose sum is σ = 974310120. Its totient is φ = 75102720.

The previous prime is 289714643. The next prime is 289714673. The reversal of 289714656 is 656417982.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 35 ways as a sum of consecutive naturals, for example, 568930 + ... + 569438.

It is an arithmetic number, because the mean of its divisors is an integer number (4510695).

Almost surely, 2^289714656 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 289714656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487155060).

289714656 is an abundant number, since it is smaller than the sum of its proper divisors (684595464).

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

289714656 is a wasteful number, since it uses less digits than its factorization.

289714656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 532 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 289714656 is about 17021.0063157265. The cubic root of 289714656 is about 661.6934290586.

The spelling of 289714656 in words is "two hundred eighty-nine million, seven hundred fourteen thousand, six hundred fifty-six".