258909408 has 72 divisors (see below), whose sum is σ = 737905896. Its totient is φ = 86112000.

The previous prime is 258909401. The next prime is 258909451. The reversal of 258909408 is 804909852.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258909401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198358 + ... + 199658.

It is an arithmetic number, because the mean of its divisors is an integer number (10248693).

Almost surely, 2^258909408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368952948).

258909408 is an abundant number, since it is smaller than the sum of its proper divisors (478996488).

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

258909408 is a wasteful number, since it uses less digits than its factorization.

258909408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258909408 is about 16090.6621367798. The cubic root of 258909408 is about 637.3567807452.

The spelling of 258909408 in words is "two hundred fifty-eight million, nine hundred nine thousand, four hundred eight".