260571200 has 84 divisors (see below), whose sum is σ = 646061700. Its totient is φ = 103434240.

The previous prime is 260571193. The next prime is 260571211. The reversal of 260571200 is 2175062.

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 260370496 = 448^2 + 16136^2 .

It is a super-4 number, since 4×260571200⁴ (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237854 + ... + 238946.

Almost surely, 2^260571200 is an apocalyptic number.

260571200 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 260571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323030850).

260571200 is an abundant number, since it is smaller than the sum of its proper divisors (385490500).

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

260571200 is a wasteful number, since it uses less digits than its factorization.

260571200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 260571200 is about 16142.2179393044. The cubic root of 260571200 is about 638.7174837251.

The spelling of 260571200 in words is "two hundred sixty million, five hundred seventy-one thousand, two hundred".