258243516 has 108 divisors (see below), whose sum is σ = 712281024. Its totient is φ = 78796800.

The previous prime is 258243511. The next prime is 258243551. The reversal of 258243516 is 615342852.

258243516 is a `hidden beast` number, since 25 + 82 + 43 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258243511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402556 + ... + 403196.

Almost surely, 2^258243516 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 258243516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356140512).

258243516 is an abundant number, since it is smaller than the sum of its proper divisors (454037508).

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

258243516 is a wasteful number, since it uses less digits than its factorization.

258243516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 696 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 258243516 is about 16069.9569383368. The cubic root of 258243516 is about 636.8099032943.

The spelling of 258243516 in words is "two hundred fifty-eight million, two hundred forty-three thousand, five hundred sixteen".