260417040 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 57784320.

The previous prime is 260417011. The next prime is 260417041. The reversal of 260417040 is 40714062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260417040.

It is not an unprimeable number, because it can be changed into a prime (260417041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363345 + ... + 1363535.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^260417040 is an apocalyptic number.

260417040 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 260417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

260417040 is an abundant number, since it is smaller than the sum of its proper divisors (699521520).

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

260417040 is a wasteful number, since it uses less digits than its factorization.

260417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 260417040 is about 16137.4421765037. The cubic root of 260417040 is about 638.5914988226.

The spelling of 260417040 in words is "two hundred sixty million, four hundred seventeen thousand, forty".