258740800 has 168 divisors, whose sum is σ = 680313600. Its totient is φ = 96645120.

The previous prime is 258740771. The next prime is 258740809. The reversal of 258740800 is 8047852.

258740800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258740809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2907156 + ... + 2907244.

Almost surely, 2^258740800 is an apocalyptic number.

258740800 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 258740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

258740800 is an abundant number, since it is smaller than the sum of its proper divisors (421572800).

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

258740800 is a wasteful number, since it uses less digits than its factorization.

258740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 258740800 is about 16085.4219714622. The cubic root of 258740800 is about 637.2183967071.

The spelling of 258740800 in words is "two hundred fifty-eight million, seven hundred forty thousand, eight hundred".