258956800 has 60 divisors (see below), whose sum is σ = 641617416. Its totient is φ = 103577600.

The previous prime is 258956791. The next prime is 258956807. The reversal of 258956800 is 8659852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258956807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2685 + ... + 22915.

Almost surely, 2^258956800 is an apocalyptic number.

258956800 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 258956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320808708).

258956800 is an abundant number, since it is smaller than the sum of its proper divisors (382660616).

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

258956800 is an equidigital number, since it uses as much as digits as its factorization.

258956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20259 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 258956800 is about 16092.1347247654. The cubic root of 258956800 is about 637.3956666371.

The spelling of 258956800 in words is "two hundred fifty-eight million, nine hundred fifty-six thousand, eight hundred".