258437417 has 18 divisors (see below), whose sum is σ = 318887982. Its totient is φ = 208113024.

The previous prime is 258437369. The next prime is 258437423. The reversal of 258437417 is 714734852.

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 257634601 = 896^2 + 16051^2 .

It is not a de Polignac number, because 258437417 - 2¹⁰ = 258436393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258437437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 463703 + ... + 464259.

It is an arithmetic number, because the mean of its divisors is an integer number (17715999).

Almost surely, 2^258437417 is an apocalyptic number.

It is an amenable number.

258437417 is a deficient number, since it is larger than the sum of its proper divisors (60450565).

258437417 is an frugal number, since it uses more digits than its factorization.

258437417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 581 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 258437417 is about 16075.9888342833. The cubic root of 258437417 is about 636.9692453855.

The spelling of 258437417 in words is "two hundred fifty-eight million, four hundred thirty-seven thousand, four hundred seventeen".