260005000 has 80 divisors (see below), whose sum is σ = 615037500. Its totient is φ = 103008000.

The previous prime is 260004973. The next prime is 260005043. The reversal of 260005000 is 500062.

It can be written as a sum of positive squares in 10 ways, for example, as 35784324 + 224220676 = 5982^2 + 14974^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 744826 + ... + 745174.

Almost surely, 2^260005000 is an apocalyptic number.

260005000 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 260005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307518750).

260005000 is an abundant number, since it is smaller than the sum of its proper divisors (355032500).

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

260005000 is a wasteful number, since it uses less digits than its factorization.

260005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 260005000 is about 16124.6705392699. The cubic root of 260005000 is about 638.2545212087.

Adding to 260005000 its reverse (500062), we get a palindrome (260505062).

The spelling of 260005000 in words is "two hundred sixty million, five thousand".