260352456 has 256 divisors, whose sum is σ = 859299840. Its totient is φ = 63866880.

The previous prime is 260352451. The next prime is 260352473. The reversal of 260352456 is 654253062.

It is not an unprimeable number, because it can be changed into a prime (260352451) 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 63 ways as a sum of consecutive naturals, for example, 3566436 + ... + 3566508.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^260352456 is an apocalyptic number.

260352456 is a gapful number since it is divisible by the number (26) 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 260352456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

260352456 is an abundant number, since it is smaller than the sum of its proper divisors (598947384).

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

260352456 is a wasteful number, since it uses less digits than its factorization.

260352456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 260352456 is about 16135.4409918043. The cubic root of 260352456 is about 638.5387037581.

The spelling of 260352456 in words is "two hundred sixty million, three hundred fifty-two thousand, four hundred fifty-six".