289046240 has 288 divisors, whose sum is σ = 891233280. Its totient is φ = 86482944.

The previous prime is 289046237. The next prime is 289046281. The reversal of 289046240 is 42640982.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 289046240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6149897 + ... + 6149943.

It is an arithmetic number, because the mean of its divisors is an integer number (3094560).

Almost surely, 2^289046240 is an apocalyptic number.

289046240 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 289046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445616640).

289046240 is an abundant number, since it is smaller than the sum of its proper divisors (602187040).

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

289046240 is a wasteful number, since it uses less digits than its factorization.

289046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 289046240 is about 17001.3599456044. The cubic root of 289046240 is about 661.1841612401.

It can be divided in two parts, 2890 and 46240, that multiplied together give a square (133633600 = 11560²).

The spelling of 289046240 in words is "two hundred eighty-nine million, forty-six thousand, two hundred forty".