258075000 has 288 divisors, whose sum is σ = 926190720. Its totient is φ = 64800000.

The previous prime is 258074987. The next prime is 258075007. The reversal of 258075000 is 570852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258075007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6974982 + ... + 6975018.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^258075000 is an apocalyptic number.

258075000 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 258075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

258075000 is an abundant number, since it is smaller than the sum of its proper divisors (668115720).

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

258075000 is a wasteful number, since it uses less digits than its factorization.

258075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 258075000 is about 16064.7128825883. The cubic root of 258075000 is about 636.6713570493.

The spelling of 258075000 in words is "two hundred fifty-eight million, seventy-five thousand".