260048800 has 144 divisors (see below), whose sum is σ = 717141600. Its totient is φ = 91212800.

The previous prime is 260048797. The next prime is 260048807. The reversal of 260048800 is 8840062.

It is not an unprimeable number, because it can be changed into a prime (260048807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254691 + ... + 255709.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^260048800 is an apocalyptic number.

260048800 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 260048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570800).

260048800 is an abundant number, since it is smaller than the sum of its proper divisors (457092800).

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

260048800 is a wasteful number, since it uses less digits than its factorization.

260048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 260048800 is about 16126.0286493606. The cubic root of 260048800 is about 638.2903589533.

Adding to 260048800 its reverse (8840062), we get a palindrome (268888862).

The spelling of 260048800 in words is "two hundred sixty million, forty-eight thousand, eight hundred".