258283872 has 288 divisors, whose sum is σ = 965502720. Its totient is φ = 63452160.

The previous prime is 258283849. The next prime is 258283913. The reversal of 258283872 is 278382852.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421038 + ... + 421650.

It is an arithmetic number, because the mean of its divisors is an integer number (3352440).

Almost surely, 2^258283872 is an apocalyptic number.

258283872 is a gapful number since it is divisible by the number (22) 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 258283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482751360).

258283872 is an abundant number, since it is smaller than the sum of its proper divisors (707218848).

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

258283872 is a wasteful number, since it uses less digits than its factorization.

258283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 258283872 is about 16071.2125242621. The cubic root of 258283872 is about 636.8430732293.

The spelling of 258283872 in words is "two hundred fifty-eight million, two hundred eighty-three thousand, eight hundred seventy-two".