289813320 has 48 divisors (see below), whose sum is σ = 941894460. Its totient is φ = 77283456.

The previous prime is 289813309. The next prime is 289813333. The reversal of 289813320 is 23318982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 270470916 + 19342404 = 16446^2 + 4398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 402159 + ... + 402878.

Almost surely, 2^289813320 is an apocalyptic number.

289813320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289813320 is an abundant number, since it is smaller than the sum of its proper divisors (652081140).

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

289813320 is a wasteful number, since it uses less digits than its factorization.

289813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805054 (or 805047 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289813320 is about 17023.9043700322. The cubic root of 289813320 is about 661.7685350402.

The spelling of 289813320 in words is "two hundred eighty-nine million, eight hundred thirteen thousand, three hundred twenty".