258801000 has 128 divisors (see below), whose sum is σ = 812972160. Its totient is φ = 68544000.

The previous prime is 258800951. The next prime is 258801001. The reversal of 258801000 is 108852.

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

It is not an unprimeable number, because it can be changed into a prime (258801001) 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, 842847 + ... + 843153.

It is an arithmetic number, because the mean of its divisors is an integer number (6351345).

Almost surely, 2^258801000 is an apocalyptic number.

258801000 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 258801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406486080).

258801000 is an abundant number, since it is smaller than the sum of its proper divisors (554171160).

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

258801000 is a wasteful number, since it uses less digits than its factorization.

258801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 258801000 is about 16087.2931222129. The cubic root of 258801000 is about 637.2678124066.

Adding to 258801000 its reverse (108852), we get a palindrome (258909852).

The spelling of 258801000 in words is "two hundred fifty-eight million, eight hundred one thousand".