258978816 has 352 divisors, whose sum is σ = 884304000. Its totient is φ = 74317824.

The previous prime is 258978793. The next prime is 258978851. The reversal of 258978816 is 618879852.

258978816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1935360) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8930290 + ... + 8930318.

Almost surely, 2^258978816 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 258978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152000).

258978816 is an abundant number, since it is smaller than the sum of its proper divisors (625325184).

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

258978816 is a wasteful number, since it uses less digits than its factorization.

258978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 258978816 is about 16092.8187711165. The cubic root of 258978816 is about 637.4137295023.

The spelling of 258978816 in words is "two hundred fifty-eight million, nine hundred seventy-eight thousand, eight hundred sixteen".