260440 has 32 divisors (see below), whose sum is σ = 622080. Its totient is φ = 97792.

The previous prime is 260419. The next prime is 260441. The reversal of 260440 is 44062.

260440 = 120² + 121² + ... + 135².

260440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260441) by changing a digit.

260440 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 489 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2²⁶⁰⁴⁴⁰ is an apocalyptic number.

260440 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 260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

260440 is an abundant number, since it is smaller than the sum of its proper divisors (361640).

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

260440 is a wasteful number, since it uses less digits than its factorization.

260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 260440 is about 510.3332244720. Note that the first 3 decimals coincide. The cubic root of 260440 is about 63.8610265682.

The spelling of 260440 in words is "two hundred sixty thousand, four hundred forty".