258129312 has 96 divisors (see below), whose sum is σ = 799432704. Its totient is φ = 71366400.

The previous prime is 258129293. The next prime is 258129323. The reversal of 258129312 is 213921852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14637 + ... + 27027.

It is an arithmetic number, because the mean of its divisors is an integer number (8327424).

Almost surely, 2^258129312 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 258129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399716352).

258129312 is an abundant number, since it is smaller than the sum of its proper divisors (541303392).

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

258129312 is a wasteful number, since it uses less digits than its factorization.

258129312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12434 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 258129312 is about 16066.4032066919. The cubic root of 258129312 is about 636.7160165079.

The spelling of 258129312 in words is "two hundred fifty-eight million, one hundred twenty-nine thousand, three hundred twelve".