258308352 has 90 divisors (see below), whose sum is σ = 770290598. Its totient is φ = 86095872.

The previous prime is 258308327. The next prime is 258308357. The reversal of 258308352 is 253803852.

It can be written as a sum of positive squares in only one way, i.e., 246364416 + 11943936 = 15696^2 + 3456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (258308357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14508 + ... + 26964.

Almost surely, 2^258308352 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 258308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385145299).

258308352 is an abundant number, since it is smaller than the sum of its proper divisors (511982246).

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

258308352 is an equidigital number, since it uses as much as digits as its factorization.

258308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12462 counting only the distinct ones).

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

The square root of 258308352 is about 16071.9741164550. The cubic root of 258308352 is about 636.8631924697.

The spelling of 258308352 in words is "two hundred fifty-eight million, three hundred eight thousand, three hundred fifty-two".