260809200 has 480 divisors, whose sum is σ = 1033267200. Its totient is φ = 62208000.

The previous prime is 260809139. The next prime is 260809243. The reversal of 260809200 is 2908062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6361180 + ... + 6361220.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^260809200 is an apocalyptic number.

260809200 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 260809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516633600).

260809200 is an abundant number, since it is smaller than the sum of its proper divisors (772458000).

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

260809200 is a wasteful number, since it uses less digits than its factorization.

260809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 260809200 is about 16149.5882300448. The cubic root of 260809200 is about 638.9118880469.

The spelling of 260809200 in words is "two hundred sixty million, eight hundred nine thousand, two hundred".