289340408 has 64 divisors (see below), whose sum is σ = 658886400. Its totient is φ = 116282880.

The previous prime is 289340383. The next prime is 289340411. The reversal of 289340408 is 804043982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467123 + ... + 467741.

It is an arithmetic number, because the mean of its divisors is an integer number (10295100).

Almost surely, 2^289340408 is an apocalyptic number.

289340408 is a gapful number since it is divisible by the number (28) 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 289340408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329443200).

289340408 is an abundant number, since it is smaller than the sum of its proper divisors (369545992).

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

289340408 is a wasteful number, since it uses less digits than its factorization.

289340408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 289340408 is about 17010.0090534955. The cubic root of 289340408 is about 661.4083852002.

The spelling of 289340408 in words is "two hundred eighty-nine million, three hundred forty thousand, four hundred eight".