258978048 has 144 divisors (see below), whose sum is σ = 800593920. Its totient is φ = 72787968.

The previous prime is 258978047. The next prime is 258978053. The reversal of 258978048 is 840879852.

It is a happy number.

258978048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258978043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359833 + ... + 360551.

It is an arithmetic number, because the mean of its divisors is an integer number (5559680).

Almost surely, 2^258978048 is an apocalyptic number.

258978048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400296960).

258978048 is an abundant number, since it is smaller than the sum of its proper divisors (541615872).

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

258978048 is an equidigital number, since it uses as much as digits as its factorization.

258978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 258978048 is about 16092.7949095240. The cubic root of 258978048 is about 637.4130994196.

The spelling of 258978048 in words is "two hundred fifty-eight million, nine hundred seventy-eight thousand, forty-eight".