260733200 has 360 divisors, whose sum is σ = 844142400. Its totient is φ = 75479040.

The previous prime is 260733173. The next prime is 260733211. The reversal of 260733200 is 2337062.

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, 8990786 + ... + 8990814.

It is an arithmetic number, because the mean of its divisors is an integer number (2344840).

Almost surely, 2^260733200 is an apocalyptic number.

260733200 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 260733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422071200).

260733200 is an abundant number, since it is smaller than the sum of its proper divisors (583409200).

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

260733200 is a wasteful number, since it uses less digits than its factorization.

260733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 260733200 is about 16147.2350574332. The cubic root of 260733200 is about 638.8498222139.

The spelling of 260733200 in words is "two hundred sixty million, seven hundred thirty-three thousand, two hundred".