258253120 has 112 divisors (see below), whose sum is σ = 674004240. Its totient is φ = 93814784.

The previous prime is 258253117. The next prime is 258253211. The reversal of 258253120 is 21352852.

It can be written as a sum of positive squares in 8 ways, for example, as 11888704 + 246364416 = 3448^2 + 15696^2 .

It is a congruent number.

It is an unprimeable number.

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, 156942 + ... + 158578.

It is an arithmetic number, because the mean of its divisors is an integer number (6017895).

Almost surely, 2^258253120 is an apocalyptic number.

258253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337002120).

258253120 is an abundant number, since it is smaller than the sum of its proper divisors (415751120).

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

258253120 is a wasteful number, since it uses less digits than its factorization.

258253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 258253120 is about 16070.2557540320. The cubic root of 258253120 is about 636.8177974538.

The spelling of 258253120 in words is "two hundred fifty-eight million, two hundred fifty-three thousand, one hundred twenty".