258984648 has 128 divisors (see below), whose sum is σ = 781200000. Its totient is φ = 79024896.

The previous prime is 258984601. The next prime is 258984653. The reversal of 258984648 is 846489852.

It is a Cunningham number, because it is equal to 16093²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 258984594 and 258984603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418083 + ... + 418701.

It is an arithmetic number, because the mean of its divisors is an integer number (6103125).

Almost surely, 2^258984648 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 258984648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600000).

258984648 is an abundant number, since it is smaller than the sum of its proper divisors (522215352).

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

258984648 is a wasteful number, since it uses less digits than its factorization.

258984648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 258984648 is about 16092.9999689306. Note that the first 4 decimals coincide. The cubic root of 258984648 is about 637.4185141523.

It can be divided in two parts, 258 and 984648, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 258984648 in words is "two hundred fifty-eight million, nine hundred eighty-four thousand, six hundred forty-eight".