260428896 has 288 divisors, whose sum is σ = 961309440. Its totient is φ = 64945152.

The previous prime is 260428879. The next prime is 260428919. The reversal of 260428896 is 698824062.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 497691 + ... + 498213.

It is an arithmetic number, because the mean of its divisors is an integer number (3337880).

Almost surely, 2^260428896 is an apocalyptic number.

260428896 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 260428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480654720).

260428896 is an abundant number, since it is smaller than the sum of its proper divisors (700880544).

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

260428896 is a wasteful number, since it uses less digits than its factorization.

260428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 260428896 is about 16137.8095167839. The cubic root of 260428896 is about 638.6011897219.

The spelling of 260428896 in words is "two hundred sixty million, four hundred twenty-eight thousand, eight hundred ninety-six".