289294240 has 24 divisors (see below), whose sum is σ = 683458020. Its totient is φ = 115717632.

The previous prime is 289294211. The next prime is 289294241. The reversal of 289294240 is 42492982.

It can be written as a sum of positive squares in 2 ways, for example, as 288048784 + 1245456 = 16972^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 289294193 and 289294202.

It is not an unprimeable number, because it can be changed into a prime (289294241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 903885 + ... + 904204.

Almost surely, 2^289294240 is an apocalyptic number.

289294240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289294240 is an abundant number, since it is smaller than the sum of its proper divisors (394163780).

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

289294240 is a wasteful number, since it uses less digits than its factorization.

289294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808104 (or 1808096 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 289294240 is about 17008.6519160103. The cubic root of 289294240 is about 661.3732045782.

It can be divided in two parts, 2892942 and 40, that added together give a palindrome (2892982).

The spelling of 289294240 in words is "two hundred eighty-nine million, two hundred ninety-four thousand, two hundred forty".