258213312 has 112 divisors (see below), whose sum is σ = 867582720. Its totient is φ = 73771776.

The previous prime is 258213283. The next prime is 258213313. The reversal of 258213312 is 213312852.

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

It is a super-2 number, since 2×258213312² = 133348228988018688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258213313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1423 + ... + 22769.

Almost surely, 2^258213312 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 258213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433791360).

258213312 is an abundant number, since it is smaller than the sum of its proper divisors (609369408).

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

258213312 is a wasteful number, since it uses less digits than its factorization.

258213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21375 (or 21359 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 258213312 is about 16069.0171448038. The cubic root of 258213312 is about 636.7850753638.

The spelling of 258213312 in words is "two hundred fifty-eight million, two hundred thirteen thousand, three hundred twelve".