260533440 has 168 divisors, whose sum is σ = 911431248. Its totient is φ = 68290560.

The previous prime is 260533433. The next prime is 260533447. The reversal of 260533440 is 44335062.

260533440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260533433) and next prime (260533447).

It is not an unprimeable number, because it can be changed into a prime (260533447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174939 + ... + 176421.

It is an arithmetic number, because the mean of its divisors is an integer number (5425186).

Almost surely, 2^260533440 is an apocalyptic number.

260533440 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 260533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455715624).

260533440 is an abundant number, since it is smaller than the sum of its proper divisors (650897808).

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

260533440 is a wasteful number, since it uses less digits than its factorization.

260533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 260533440 is about 16141.0482930942. The cubic root of 260533440 is about 638.6866295385.

The spelling of 260533440 in words is "two hundred sixty million, five hundred thirty-three thousand, four hundred forty".