289938240 has 84 divisors (see below), whose sum is σ = 997276644. Its totient is φ = 77316096.

The previous prime is 289938211. The next prime is 289938251. The reversal of 289938240 is 42839982.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 100160064 = 13776^2 + 10008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47457 + ... + 53216.

It is an arithmetic number, because the mean of its divisors is an integer number (11872341).

Almost surely, 2^289938240 is an apocalyptic number.

289938240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289938240 is an abundant number, since it is smaller than the sum of its proper divisors (707338404).

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

289938240 is a wasteful number, since it uses less digits than its factorization.

289938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100696 (or 100683 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289938240 is about 17027.5729333337. The cubic root of 289938240 is about 661.8636034226.

The spelling of 289938240 in words is "two hundred eighty-nine million, nine hundred thirty-eight thousand, two hundred forty".