258836032 has 112 divisors (see below), whose sum is σ = 645769600. Its totient is φ = 102283776.

The previous prime is 258835937. The next prime is 258836063. The reversal of 258836032 is 230638852.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 258835982 and 258836000.

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 15 ways as a sum of consecutive naturals, for example, 284923 + ... + 285829.

It is an arithmetic number, because the mean of its divisors is an integer number (5765800).

Almost surely, 2^258836032 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 258836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322884800).

258836032 is an abundant number, since it is smaller than the sum of its proper divisors (386933568).

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

258836032 is an equidigital number, since it uses as much as digits as its factorization.

258836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 258836032 is about 16088.3818950198. The cubic root of 258836032 is about 637.2965652048.

The spelling of 258836032 in words is "two hundred fifty-eight million, eight hundred thirty-six thousand, thirty-two".