258312000 has 224 divisors, whose sum is σ = 874897920. Its totient is φ = 67123200.

The previous prime is 258311981. The next prime is 258312007. The reversal of 258312000 is 213852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127886 + ... + 1128114.

Almost surely, 2^258312000 is an apocalyptic number.

258312000 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 258312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437448960).

258312000 is an abundant number, since it is smaller than the sum of its proper divisors (616585920).

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

258312000 is a wasteful number, since it uses less digits than its factorization.

258312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258312000 is about 16072.0876055353. The cubic root of 258312000 is about 636.8661905222.

Adding to 258312000 its reverse (213852), we get a palindrome (258525852).

The spelling of 258312000 in words is "two hundred fifty-eight million, three hundred twelve thousand".