260384040 has 288 divisors, whose sum is σ = 1020357000. Its totient is φ = 57351168.

The previous prime is 260384027. The next prime is 260384041. The reversal of 260384040 is 40483062.

It can be written as a sum of positive squares in 4 ways, for example, as 240188004 + 20196036 = 15498^2 + 4494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 260383995 and 260384013.

It is not an unprimeable number, because it can be changed into a prime (260384041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 511306 + ... + 511814.

Almost surely, 2^260384040 is an apocalyptic number.

260384040 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 260384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510178500).

260384040 is an abundant number, since it is smaller than the sum of its proper divisors (759972960).

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

260384040 is a wasteful number, since it uses less digits than its factorization.

260384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 260384040 is about 16136.4196772394. The cubic root of 260384040 is about 638.5645236169.

The spelling of 260384040 in words is "two hundred sixty million, three hundred eighty-four thousand, forty".