261480200 has 48 divisors (see below), whose sum is σ = 610029780. Its totient is φ = 104232960.

The previous prime is 261480143. The next prime is 261480227. The reversal of 261480200 is 2084162.

It can be written as a sum of positive squares in 6 ways, for example, as 69989956 + 191490244 = 8366^2 + 13838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60512 + ... + 64688.

Almost surely, 2^261480200 is an apocalyptic number.

261480200 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 261480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305014890).

261480200 is an abundant number, since it is smaller than the sum of its proper divisors (348549580).

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

261480200 is a wasteful number, since it uses less digits than its factorization.

261480200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 261480200 is about 16170.3494087172. The cubic root of 261480200 is about 639.4593415689.

The spelling of 261480200 in words is "two hundred sixty-one million, four hundred eighty thousand, two hundred".