258048768 has 72 divisors (see below), whose sum is σ = 689833648. Its totient is φ = 85635072.

The previous prime is 258048761. The next prime is 258048773. The reversal of 258048768 is 867840852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (258048761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212130 + ... + 213342.

Almost surely, 2^258048768 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 258048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344916824).

258048768 is an abundant number, since it is smaller than the sum of its proper divisors (431784880).

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

258048768 is a wasteful number, since it uses less digits than its factorization.

258048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 258048768 is about 16063.8964140087. The cubic root of 258048768 is about 636.6497848592.

The spelling of 258048768 in words is "two hundred fifty-eight million, forty-eight thousand, seven hundred sixty-eight".