258429312 has 256 divisors, whose sum is σ = 818611200. Its totient is φ = 80123904.

The previous prime is 258429307. The next prime is 258429313. The reversal of 258429312 is 213924852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258429313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5498473 + ... + 5498519.

It is an arithmetic number, because the mean of its divisors is an integer number (3197700).

Almost surely, 2^258429312 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 258429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409305600).

258429312 is an abundant number, since it is smaller than the sum of its proper divisors (560181888).

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

258429312 is a wasteful number, since it uses less digits than its factorization.

258429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 258429312 is about 16075.7367482800. The cubic root of 258429312 is about 636.9625865333.

The spelling of 258429312 in words is "two hundred fifty-eight million, four hundred twenty-nine thousand, three hundred twelve".