260544000 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 65331200.

The previous prime is 260543981. The next prime is 260544001. The reversal of 260544000 is 445062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260544001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415971 + ... + 4416029.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^260544000 is an apocalyptic number.

260544000 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 260544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

260544000 is an abundant number, since it is smaller than the sum of its proper divisors (658682880).

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

260544000 is an equidigital number, since it uses as much as digits as its factorization.

260544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 260544000 is about 16141.3754060799. The cubic root of 260544000 is about 638.6952585520.

Adding to 260544000 its reverse (445062), we get a palindrome (260989062).

The spelling of 260544000 in words is "two hundred sixty million, five hundred forty-four thousand".