258887200 has 288 divisors, whose sum is σ = 776950272. Its totient is φ = 82944000.

The previous prime is 258887177. The next prime is 258887207. The reversal of 258887200 is 2788852.

258887200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (258887207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546364 + ... + 3546436.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2^258887200 is an apocalyptic number.

258887200 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 258887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388475136).

258887200 is an abundant number, since it is smaller than the sum of its proper divisors (518063072).

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

258887200 is a wasteful number, since it uses less digits than its factorization.

258887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 258887200 is about 16089.9720322939. The cubic root of 258887200 is about 637.3385570942.

The spelling of 258887200 in words is "two hundred fifty-eight million, eight hundred eighty-seven thousand, two hundred".