258435000 has 120 divisors (see below), whose sum is σ = 874782480. Its totient is φ = 68904000.

The previous prime is 258434993. The next prime is 258435043. The reversal of 258435000 is 534852.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42129 + ... + 47871.

It is an arithmetic number, because the mean of its divisors is an integer number (7289854).

Almost surely, 2^258435000 is an apocalyptic number.

258435000 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 258435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437391240).

258435000 is an abundant number, since it is smaller than the sum of its proper divisors (616347480).

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

258435000 is a wasteful number, since it uses less digits than its factorization.

258435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 258435000 is about 16075.9136598826. The cubic root of 258435000 is about 636.9672596572.

Adding to 258435000 its reverse (534852), we get a palindrome (258969852).

The spelling of 258435000 in words is "two hundred fifty-eight million, four hundred thirty-five thousand".