260400640 has 40 divisors (see below), whose sum is σ = 624357360. Its totient is φ = 104159232.

The previous prime is 260400629. The next prime is 260400683. The reversal of 260400640 is 46004062.

260400640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 3 ways as a sum of consecutive naturals, for example, 48300 + ... + 53419.

It is an arithmetic number, because the mean of its divisors is an integer number (15608934).

Almost surely, 2^260400640 is an apocalyptic number.

260400640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260400640 is an abundant number, since it is smaller than the sum of its proper divisors (363956720).

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

260400640 is an equidigital number, since it uses as much as digits as its factorization.

260400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101742 (or 101726 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 260400640 is about 16136.9340334526. The cubic root of 260400640 is about 638.5780932477.

The spelling of 260400640 in words is "two hundred sixty million, four hundred thousand, six hundred forty".