258643416 has 128 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 79488000.

The previous prime is 258643391. The next prime is 258643417. The reversal of 258643416 is 614346852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258643417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1860675 + ... + 1860813.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^258643416 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 258643416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

258643416 is an abundant number, since it is smaller than the sum of its proper divisors (441311784).

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

258643416 is a wasteful number, since it uses less digits than its factorization.

258643416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 258643416 is about 16082.3945978203. The cubic root of 258643416 is about 637.1384419631.

The spelling of 258643416 in words is "two hundred fifty-eight million, six hundred forty-three thousand, four hundred sixteen".