260275200 has 132 divisors (see below), whose sum is σ = 860476920. Its totient is φ = 69386240.

The previous prime is 260275189. The next prime is 260275201. The reversal of 260275200 is 2572062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260275201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75106 + ... + 78494.

Almost surely, 2^260275200 is an apocalyptic number.

260275200 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 260275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430238460).

260275200 is an abundant number, since it is smaller than the sum of its proper divisors (600201720).

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

260275200 is a wasteful number, since it uses less digits than its factorization.

260275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 260275200 is about 16133.0468294120. The cubic root of 260275200 is about 638.4755383258.

Subtracting from 260275200 its product of nonzero digits (1680), we obtain a triangular number (260273520 = T₂₂₈₁₅).

The spelling of 260275200 in words is "two hundred sixty million, two hundred seventy-five thousand, two hundred".