260790200 has 192 divisors, whose sum is σ = 739238400. Its totient is φ = 84326400.

The previous prime is 260790193. The next prime is 260790221. The reversal of 260790200 is 2097062.

260790200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 16149²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 260790200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710417 + ... + 710783.

It is an arithmetic number, because the mean of its divisors is an integer number (3850200).

Almost surely, 2^260790200 is an apocalyptic number.

260790200 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 260790200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369619200).

260790200 is an abundant number, since it is smaller than the sum of its proper divisors (478448200).

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

260790200 is a wasteful number, since it uses less digits than its factorization.

260790200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 260790200 is about 16148.9999690383. Note that the first 4 decimals coincide. The cubic root of 260790200 is about 638.8963727192.

The spelling of 260790200 in words is "two hundred sixty million, seven hundred ninety thousand, two hundred".