258000413 has 8 divisors (see below), whose sum is σ = 288320256. Its totient is φ = 228824800.

The previous prime is 258000403. The next prime is 258000481. The reversal of 258000413 is 314000852.

258000413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258000413 - 2¹⁶ = 257934877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258000403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285581 + ... + 286482.

It is an arithmetic number, because the mean of its divisors is an integer number (36040032).

Almost surely, 2^258000413 is an apocalyptic number.

It is an amenable number.

258000413 is a deficient number, since it is larger than the sum of its proper divisors (30319843).

258000413 is a wasteful number, since it uses less digits than its factorization.

258000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572115.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 258000413 is about 16062.3912603323. The cubic root of 258000413 is about 636.6100157312.

The spelling of 258000413 in words is "two hundred fifty-eight million, four hundred thirteen", and thus it is an aban number.