258012000 has 192 divisors, whose sum is σ = 939556800. Its totient is φ = 68774400.

The previous prime is 258011993. The next prime is 258012011. The reversal of 258012000 is 210852.

258012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106806 + ... + 109194.

It is an arithmetic number, because the mean of its divisors is an integer number (4893525).

Almost surely, 2^258012000 is an apocalyptic number.

258012000 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 258012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469778400).

258012000 is an abundant number, since it is smaller than the sum of its proper divisors (681544800).

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

258012000 is a wasteful number, since it uses less digits than its factorization.

258012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 258012000 is about 16062.7519435494. The cubic root of 258012000 is about 636.6195458061.

Adding to 258012000 its reverse (210852), we get a palindrome (258222852).

The spelling of 258012000 in words is "two hundred fifty-eight million, twelve thousand".