258001350 has 192 divisors, whose sum is σ = 728953344. Its totient is φ = 60037120.

The previous prime is 258001339. The next prime is 258001409. The reversal of 258001350 is 53100852.

258001350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 258001350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3108409 + ... + 3108491.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^258001350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364476672).

258001350 is an abundant number, since it is smaller than the sum of its proper divisors (470951994).

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

258001350 is a wasteful number, since it uses less digits than its factorization.

258001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 258001350 is about 16062.4204278185. The cubic root of 258001350 is about 636.6107864055.

The spelling of 258001350 in words is "two hundred fifty-eight million, one thousand, three hundred fifty".