258983424 has 360 divisors, whose sum is σ = 921780288. Its totient is φ = 69672960.

The previous prime is 258983411. The next prime is 258983441. The reversal of 258983424 is 424389852.

258983424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (552960) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 258983424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6999534 + ... + 6999570.

Almost surely, 2^258983424 is an apocalyptic number.

258983424 is a gapful number since it is divisible by the number (24) 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 258983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460890144).

258983424 is an abundant number, since it is smaller than the sum of its proper divisors (662796864).

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

258983424 is a wasteful number, since it uses less digits than its factorization.

258983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 258983424 is about 16092.9619399289. The cubic root of 258983424 is about 637.4175099725.

The spelling of 258983424 in words is "two hundred fifty-eight million, nine hundred eighty-three thousand, four hundred twenty-four".