260467200 has 720 divisors, whose sum is σ = 1187334720. Its totient is φ = 53084160.

The previous prime is 260467189. The next prime is 260467231. The reversal of 260467200 is 2764062.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13708791 + ... + 13708809.

It is an arithmetic number, because the mean of its divisors is an integer number (1649076).

Almost surely, 2^260467200 is an apocalyptic number.

260467200 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 260467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593667360).

260467200 is an abundant number, since it is smaller than the sum of its proper divisors (926867520).

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

260467200 is a wasteful number, since it uses less digits than its factorization.

260467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 260467200 is about 16138.9962513163. The cubic root of 260467200 is about 638.6324967711.

The spelling of 260467200 in words is "two hundred sixty million, four hundred sixty-seven thousand, two hundred".