260261200 has 60 divisors (see below), whose sum is σ = 629059068. Its totient is φ = 103475200.

The previous prime is 260261189. The next prime is 260261203. The reversal of 260261200 is 2162062.

It can be written as a sum of positive squares in 6 ways, for example, as 1308736 + 258952464 = 1144^2 + 16092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260261203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67320 + ... + 71080.

Almost surely, 2^260261200 is an apocalyptic number.

260261200 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 260261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314529534).

260261200 is an abundant number, since it is smaller than the sum of its proper divisors (368797868).

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

260261200 is a wasteful number, since it uses less digits than its factorization.

260261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 260261200 is about 16132.6129315744. The cubic root of 260261200 is about 638.4640904201.

The spelling of 260261200 in words is "two hundred sixty million, two hundred sixty-one thousand, two hundred".