260726400 has 288 divisors, whose sum is σ = 1016140320. Its totient is φ = 63129600.

The previous prime is 260726393. The next prime is 260726407. The reversal of 260726400 is 4627062.

It is an interprime number because it is at equal distance from previous prime (260726393) and next prime (260726407).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (260726407) 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 35 ways as a sum of consecutive naturals, for example, 316389 + ... + 317211.

It is an arithmetic number, because the mean of its divisors is an integer number (3528265).

Almost surely, 2^260726400 is an apocalyptic number.

260726400 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 260726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508070160).

260726400 is an abundant number, since it is smaller than the sum of its proper divisors (755413920).

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

260726400 is a wasteful number, since it uses less digits than its factorization.

260726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 260726400 is about 16147.0244936954. The cubic root of 260726400 is about 638.8442683673.

The spelling of 260726400 in words is "two hundred sixty million, seven hundred twenty-six thousand, four hundred".