289279540 has 48 divisors (see below), whose sum is σ = 668251584. Its totient is φ = 105182880.

The previous prime is 289279513. The next prime is 289279561. The reversal of 289279540 is 45972982.

It is a super-2 number, since 2×289279540² = 167365304525223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 21187 + ... + 32053.

It is an arithmetic number, because the mean of its divisors is an integer number (13921908).

Almost surely, 2^289279540 is an apocalyptic number.

289279540 is a gapful number since it is divisible by the number (20) 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 289279540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334125792).

289279540 is an abundant number, since it is smaller than the sum of its proper divisors (378972044).

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

289279540 is a wasteful number, since it uses less digits than its factorization.

289279540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 289279540 is about 17008.2197775076. The cubic root of 289279540 is about 661.3620021996.

The spelling of 289279540 in words is "two hundred eighty-nine million, two hundred seventy-nine thousand, five hundred forty".