258966240 has 192 divisors, whose sum is σ = 898200576. Its totient is φ = 62318592.

The previous prime is 258966229. The next prime is 258966241. The reversal of 258966240 is 42669852.

It is a junction number, because it is equal to n+sod(n) for n = 258966192 and 258966201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258966241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292839 + ... + 293721.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2^258966240 is an apocalyptic number.

258966240 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 258966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).

258966240 is an abundant number, since it is smaller than the sum of its proper divisors (639234336).

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

258966240 is a wasteful number, since it uses less digits than its factorization.

258966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 258966240 is about 16092.4280330844. The cubic root of 258966240 is about 637.4034117410.

The spelling of 258966240 in words is "two hundred fifty-eight million, nine hundred sixty-six thousand, two hundred forty".