289879940 has 48 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 95958912.

The previous prime is 289879897. The next prime is 289879943. The reversal of 289879940 is 49978982.

It is a happy number.

289879940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×289879940² = 168060759228807200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (289879943) 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 15 ways as a sum of consecutive naturals, for example, 31640 + ... + 39759.

It is an arithmetic number, because the mean of its divisors is an integer number (14994000).

Almost surely, 2^289879940 is an apocalyptic number.

289879940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289879940 is an abundant number, since it is smaller than the sum of its proper divisors (429832060).

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

289879940 is a wasteful number, since it uses less digits than its factorization.

289879940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71444 (or 71442 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 289879940 is about 17025.8609180270. The cubic root of 289879940 is about 661.8192385322.

The spelling of 289879940 in words is "two hundred eighty-nine million, eight hundred seventy-nine thousand, nine hundred forty".