258351288 has 64 divisors (see below), whose sum is σ = 698544000. Its totient is φ = 79152000.

The previous prime is 258351259. The next prime is 258351299. The reversal of 258351288 is 882153852.

It is a super-2 number, since 2×258351288² = 133490776022517888, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 76663 + ... + 79961.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2^258351288 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 258351288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272000).

258351288 is an abundant number, since it is smaller than the sum of its proper divisors (440192712).

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

258351288 is a wasteful number, since it uses less digits than its factorization.

258351288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 258351288 is about 16073.3098022778. The cubic root of 258351288 is about 636.8984769697.

The spelling of 258351288 in words is "two hundred fifty-eight million, three hundred fifty-one thousand, two hundred eighty-eight".