289793022460 has 96 divisors (see below), whose sum is σ = 679644000000. Its totient is φ = 103148246016.

The previous prime is 289793022451. The next prime is 289793022461. The reversal of 289793022460 is 64220397982.

It is a junction number, because it is equal to n+sod(n) for n = 289793022398 and 289793022407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289793022461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178591 + ... + 3268489.

It is an arithmetic number, because the mean of its divisors is an integer number (7079625000).

Almost surely, 2^289793022460 is an apocalyptic number.

289793022460 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 289793022460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339822000000).

289793022460 is an abundant number, since it is smaller than the sum of its proper divisors (389850977540).

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

289793022460 is a wasteful number, since it uses less digits than its factorization.

289793022460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90443 (or 90441 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 289793022460 in words is "two hundred eighty-nine billion, seven hundred ninety-three million, twenty-two thousand, four hundred sixty".