260031200 has 144 divisors (see below), whose sum is σ = 746108496. Its totient is φ = 87244800.

The previous prime is 260031173. The next prime is 260031209. The reversal of 260031200 is 2130062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260031209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113264 + ... + 115536.

It is an arithmetic number, because the mean of its divisors is an integer number (5181309).

Almost surely, 2^260031200 is an apocalyptic number.

260031200 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 260031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373054248).

260031200 is an abundant number, since it is smaller than the sum of its proper divisors (486077296).

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

260031200 is a wasteful number, since it uses less digits than its factorization.

260031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 260031200 is about 16125.4829385045. The cubic root of 260031200 is about 638.2759588821.

Adding to 260031200 its reverse (2130062), we get a palindrome (262161262).

The spelling of 260031200 in words is "two hundred sixty million, thirty-one thousand, two hundred".