258240000 has 200 divisors, whose sum is σ = 862880040. Its totient is φ = 68608000.

The previous prime is 258239999. The next prime is 258240053. The reversal of 258240000 is 42852.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959866 + ... + 960134.

Almost surely, 2^258240000 is an apocalyptic number.

258240000 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 258240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431440020).

258240000 is an abundant number, since it is smaller than the sum of its proper divisors (604640040).

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

258240000 is an frugal number, since it uses more digits than its factorization.

258240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 258240000 is about 16069.8475412805. The cubic root of 258240000 is about 636.8070132137.

Adding to 258240000 its reverse (42852), we get a palindrome (258282852).

The spelling of 258240000 in words is "two hundred fifty-eight million, two hundred forty thousand".