258221800 has 72 divisors (see below), whose sum is σ = 624025350. Its totient is φ = 99254400.

The previous prime is 258221797. The next prime is 258221801. The reversal of 258221800 is 8122852.

258221800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 193933476 + 64288324 = 13926^2 + 8018^2 .

It is not an unprimeable number, because it can be changed into a prime (258221801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1223695 + ... + 1223905.

Almost surely, 2^258221800 is an apocalyptic number.

258221800 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 258221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312012675).

258221800 is an abundant number, since it is smaller than the sum of its proper divisors (365803550).

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

258221800 is a wasteful number, since it uses less digits than its factorization.

258221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 258221800 is about 16069.2812533728. The cubic root of 258221800 is about 636.7920527635.

The spelling of 258221800 in words is "two hundred fifty-eight million, two hundred twenty-one thousand, eight hundred".