258788000 has 96 divisors (see below), whose sum is σ = 656667648. Its totient is φ = 100128000.

The previous prime is 258787981. The next prime is 258788003. The reversal of 258788000 is 887852.

258788000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258788003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122957 + ... + 125043.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2^258788000 is an apocalyptic number.

258788000 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 258788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328333824).

258788000 is an abundant number, since it is smaller than the sum of its proper divisors (397879648).

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

258788000 is a wasteful number, since it uses less digits than its factorization.

258788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 258788000 is about 16086.8890715390. The cubic root of 258788000 is about 637.2571418910.

The spelling of 258788000 in words is "two hundred fifty-eight million, seven hundred eighty-eight thousand".