258825600 has 576 divisors, whose sum is σ = 1085198400. Its totient is φ = 58060800.

The previous prime is 258825571. The next prime is 258825607. The reversal of 258825600 is 6528852.

258825600 is a `hidden beast` number, since 25 + 8 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258825607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6019179 + ... + 6019221.

It is an arithmetic number, because the mean of its divisors is an integer number (1884025).

Almost surely, 2^258825600 is an apocalyptic number.

258825600 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 258825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542599200).

258825600 is an abundant number, since it is smaller than the sum of its proper divisors (826372800).

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

258825600 is a wasteful number, since it uses less digits than its factorization.

258825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258825600 is about 16088.0576826415. The cubic root of 258825600 is about 637.2880033274.

The spelling of 258825600 in words is "two hundred fifty-eight million, eight hundred twenty-five thousand, six hundred".