260553200 has 120 divisors (see below), whose sum is σ = 661291008. Its totient is φ = 98461440.

The previous prime is 260553193. The next prime is 260553217. The reversal of 260553200 is 2355062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 1168289 + ... + 1168511.

Almost surely, 2^260553200 is an apocalyptic number.

260553200 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 260553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330645504).

260553200 is an abundant number, since it is smaller than the sum of its proper divisors (400737808).

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

260553200 is a wasteful number, since it uses less digits than its factorization.

260553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 260553200 is about 16141.6603854746. The cubic root of 260553200 is about 638.7027760630.

The spelling of 260553200 in words is "two hundred sixty million, five hundred fifty-three thousand, two hundred".