258853220 has 48 divisors (see below), whose sum is σ = 583728768. Its totient is φ = 96069120.

The previous prime is 258853211. The next prime is 258853229. The reversal of 258853220 is 22358852.

It is an interprime number because it is at equal distance from previous prime (258853211) and next prime (258853229).

It is a super-3 number, since 3×258853220³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (258853229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18779 + ... + 29501.

It is an arithmetic number, because the mean of its divisors is an integer number (12161016).

Almost surely, 2^258853220 is an apocalyptic number.

258853220 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 258853220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291864384).

258853220 is an abundant number, since it is smaller than the sum of its proper divisors (324875548).

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

258853220 is a wasteful number, since it uses less digits than its factorization.

258853220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 258853220 is about 16088.9160604436. The cubic root of 258853220 is about 637.3106714465.

The spelling of 258853220 in words is "two hundred fifty-eight million, eight hundred fifty-three thousand, two hundred twenty".