258720220 has 48 divisors (see below), whose sum is σ = 598197600. Its totient is φ = 93208320.

The previous prime is 258720193. The next prime is 258720227. The reversal of 258720220 is 22027852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258720227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18586 + ... + 29374.

It is an arithmetic number, because the mean of its divisors is an integer number (12462450).

Almost surely, 2^258720220 is an apocalyptic number.

258720220 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 258720220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299098800).

258720220 is an abundant number, since it is smaller than the sum of its proper divisors (339477380).

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

258720220 is a wasteful number, since it uses less digits than its factorization.

258720220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 258720220 is about 16084.7822490701. The cubic root of 258720220 is about 637.2015016751.

The spelling of 258720220 in words is "two hundred fifty-eight million, seven hundred twenty thousand, two hundred twenty".