258242000 has 40 divisors (see below), whose sum is σ = 624433992. Its totient is φ = 103296000.

The previous prime is 258241993. The next prime is 258242011. The reversal of 258242000 is 242852.

It can be written as a sum of positive squares in 4 ways, for example, as 29506624 + 228735376 = 5432^2 + 15124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62561 + ... + 66560.

Almost surely, 2^258242000 is an apocalyptic number.

258242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258242000 is an abundant number, since it is smaller than the sum of its proper divisors (366191992).

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

258242000 is a wasteful number, since it uses less digits than its factorization.

258242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129144 (or 129128 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 258242000 is about 16069.9097695040. The cubic root of 258242000 is about 636.8086571763.

Adding to 258242000 its reverse (242852), we get a palindrome (258484852).

The spelling of 258242000 in words is "two hundred fifty-eight million, two hundred forty-two thousand".