258479424 has 280 divisors, whose sum is σ = 929396160. Its totient is φ = 69341184.

The previous prime is 258479393. The next prime is 258479437. The reversal of 258479424 is 424974852.

It is a super-2 number, since 2×258479424² = 133623225262743552, which contains 22 as substring.

Its product of digits (645120) is a multiple of the sum of its prime divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 258479424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616687 + ... + 617105.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^258479424 is an apocalyptic number.

258479424 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 258479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

258479424 is an abundant number, since it is smaller than the sum of its proper divisors (670916736).

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

258479424 is a wasteful number, since it uses less digits than its factorization.

258479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 258479424 is about 16077.2952949182. The cubic root of 258479424 is about 637.0037549879.

The spelling of 258479424 in words is "two hundred fifty-eight million, four hundred seventy-nine thousand, four hundred twenty-four".