260856480 has 96 divisors (see below), whose sum is σ = 825721344. Its totient is φ = 69221376.

The previous prime is 260856469. The next prime is 260856487. The reversal of 260856480 is 84658062.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×260856480² = 136092206315980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260856487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105822 + ... + 108258.

It is an arithmetic number, because the mean of its divisors is an integer number (8601264).

Almost surely, 2^260856480 is an apocalyptic number.

260856480 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 260856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412860672).

260856480 is an abundant number, since it is smaller than the sum of its proper divisors (564864864).

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

260856480 is a wasteful number, since it uses less digits than its factorization.

260856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 260856480 is about 16151.0519781220. The cubic root of 260856480 is about 638.9504934449.

The spelling of 260856480 in words is "two hundred sixty million, eight hundred fifty-six thousand, four hundred eighty".