260542800 has 360 divisors, whose sum is σ = 1059406400. Its totient is φ = 59270400.

The previous prime is 260542787. The next prime is 260542811. The reversal of 260542800 is 8245062.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234695 + ... + 1234905.

Almost surely, 2^260542800 is an apocalyptic number.

260542800 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 260542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529703200).

260542800 is an abundant number, since it is smaller than the sum of its proper divisors (798863600).

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

260542800 is a wasteful number, since it uses less digits than its factorization.

260542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 260542800 is about 16141.3382344835. The cubic root of 260542800 is about 638.6942779940.

Adding to 260542800 its reverse (8245062), we get a palindrome (268787862).

The spelling of 260542800 in words is "two hundred sixty million, five hundred forty-two thousand, eight hundred".