260509000 has 64 divisors (see below), whose sum is σ = 641721600. Its totient is φ = 98712000.

The previous prime is 260508991. The next prime is 260509069. The reversal of 260509000 is 905062.

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, 12145 + ... + 25855.

It is an arithmetic number, because the mean of its divisors is an integer number (10026900).

Almost surely, 2^260509000 is an apocalyptic number.

260509000 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 260509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320860800).

260509000 is an abundant number, since it is smaller than the sum of its proper divisors (381212600).

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

260509000 is a wasteful number, since it uses less digits than its factorization.

260509000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13751 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 260509000 is about 16140.2911993557. The cubic root of 260509000 is about 638.6666577077. Note that the first 4 decimals are identical.

The spelling of 260509000 in words is "two hundred sixty million, five hundred nine thousand".