258388200 has 144 divisors (see below), whose sum is σ = 991766880. Its totient is φ = 59057280.

The previous prime is 258388183. The next prime is 258388217. The reversal of 258388200 is 2883852.

258388200 is a `hidden beast` number, since 258 + 388 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258388183) and next prime (258388217).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2347 + ... + 22853.

It is an arithmetic number, because the mean of its divisors is an integer number (6887270).

Almost surely, 2^258388200 is an apocalyptic number.

258388200 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 258388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495883440).

258388200 is an abundant number, since it is smaller than the sum of its proper divisors (733378680).

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

258388200 is a wasteful number, since it uses less digits than its factorization.

258388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20536 (or 20524 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258388200 is about 16074.4580001940. The cubic root of 258388200 is about 636.9288078642.

The spelling of 258388200 in words is "two hundred fifty-eight million, three hundred eighty-eight thousand, two hundred".