258287616 has 168 divisors, whose sum is σ = 778795290. Its totient is φ = 85598208.

The previous prime is 258287611. The next prime is 258287633. The reversal of 258287616 is 616782852.

258287616 is a `hidden beast` number, since 2 + 5 + 8 + 28 + 7 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 90326016 = 12960^2 + 9504^2 .

It is not an unprimeable number, because it can be changed into a prime (258287611) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492906 + ... + 1493078.

Almost surely, 2^258287616 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 258287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389397645).

258287616 is an abundant number, since it is smaller than the sum of its proper divisors (520507674).

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

258287616 is an frugal number, since it uses more digits than its factorization.

258287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 258287616 is about 16071.3290054059. The cubic root of 258287616 is about 636.8461503720.

The spelling of 258287616 in words is "two hundred fifty-eight million, two hundred eighty-seven thousand, six hundred sixteen".