258416 has 20 divisors (see below), whose sum is σ = 517824. Its totient is φ = 124800.

The previous prime is 258413. The next prime is 258421. The reversal of 258416 is 614852.

258416 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 756.

2²⁵⁸⁴¹⁶ 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 258416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258912).

258416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

258416 is a wasteful number, since it uses less digits than its factorization.

258416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 258416 is about 508.3463386314. The cubic root of 258416 is about 63.6951649446.

The spelling of 258416 in words is "two hundred fifty-eight thousand, four hundred sixteen".