258033000 has 64 divisors (see below), whose sum is σ = 805072320. Its totient is φ = 68808000.

The previous prime is 258032993. The next prime is 258033001. The reversal of 258033000 is 330852.

It is not an unprimeable number, because it can be changed into a prime (258033001) 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 15 ways as a sum of consecutive naturals, for example, 40006 + ... + 46005.

It is an arithmetic number, because the mean of its divisors is an integer number (12579255).

Almost surely, 2^258033000 is an apocalyptic number.

258033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258033000 is an abundant number, since it is smaller than the sum of its proper divisors (547039320).

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

258033000 is a wasteful number, since it uses less digits than its factorization.

258033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86035 (or 86021 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 258033000 is about 16063.4056164937. The cubic root of 258033000 is about 636.6368171576.

Adding to 258033000 its reverse (330852), we get a palindrome (258363852).

The spelling of 258033000 in words is "two hundred fifty-eight million, thirty-three thousand".