260755200 has 270 divisors, whose sum is σ = 966047544. Its totient is φ = 69396480.

The previous prime is 260755199. The next prime is 260755213. The reversal of 260755200 is 2557062.

260755200 is a `hidden beast` number, since 2 + 607 + 5 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518149 + ... + 518651.

Almost surely, 2^260755200 is an apocalyptic number.

260755200 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 260755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483023772).

260755200 is an abundant number, since it is smaller than the sum of its proper divisors (705292344).

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

260755200 is an equidigital number, since it uses as much as digits as its factorization.

260755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 260755200 is about 16147.9162742442. The cubic root of 260755200 is about 638.8677898794.

The spelling of 260755200 in words is "two hundred sixty million, seven hundred fifty-five thousand, two hundred".