258624304 has 20 divisors (see below), whose sum is σ = 501452280. Its totient is φ = 129217280.

The previous prime is 258624293. The next prime is 258624307. The reversal of 258624304 is 403426852.

258624304 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 258624304.

It is not an unprimeable number, because it can be changed into a prime (258624307) 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, 19992 + ... + 30280.

It is an arithmetic number, because the mean of its divisors is an integer number (25072614).

Almost surely, 2^258624304 is an apocalyptic number.

It is an amenable number.

258624304 is a deficient number, since it is larger than the sum of its proper divisors (242827976).

258624304 is a wasteful number, since it uses less digits than its factorization.

258624304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 258624304 is about 16081.8003967218. The cubic root of 258624304 is about 637.1227481686.

The spelling of 258624304 in words is "two hundred fifty-eight million, six hundred twenty-four thousand, three hundred four".