260282880 has 480 divisors, whose sum is σ = 1072431360. Its totient is φ = 57507840.

The previous prime is 260282879. The next prime is 260282899. The reversal of 260282880 is 88282062.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3294681 + ... + 3294759.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^260282880 is an apocalyptic number.

260282880 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 260282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

260282880 is an abundant number, since it is smaller than the sum of its proper divisors (812148480).

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

260282880 is a wasteful number, since it uses less digits than its factorization.

260282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 260282880 is about 16133.2848484120. The cubic root of 260282880 is about 638.4818181454.

It can be divided in two parts, 260282 and 880, that added together give a palindrome (261162).

The spelling of 260282880 in words is "two hundred sixty million, two hundred eighty-two thousand, eight hundred eighty".