260225280 has 324 divisors, whose sum is σ = 1049620572. Its totient is φ = 59351040.

The previous prime is 260225279. The next prime is 260225291. The reversal of 260225280 is 82522062.

260225280 is a `hidden beast` number, since 2 + 602 + 2 + 52 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 171714816 = 9408^2 + 13104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564250 + ... + 564710.

Almost surely, 2^260225280 is an apocalyptic number.

260225280 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 260225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524810286).

260225280 is an abundant number, since it is smaller than the sum of its proper divisors (789395292).

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

260225280 is a wasteful number, since it uses less digits than its factorization.

260225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 260225280 is about 16131.4996203081. The cubic root of 260225280 is about 638.4347164870.

The spelling of 260225280 in words is "two hundred sixty million, two hundred twenty-five thousand, two hundred eighty".