258618880 has 160 divisors (see below), whose sum is σ = 704642400. Its totient is φ = 90243072.

The previous prime is 258618869. The next prime is 258618881. The reversal of 258618880 is 88816852.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 258618880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258618881) 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, 632116 + ... + 632524.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015).

Almost surely, 2^258618880 is an apocalyptic number.

258618880 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 258618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352321200).

258618880 is an abundant number, since it is smaller than the sum of its proper divisors (446023520).

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

258618880 is a wasteful number, since it uses less digits than its factorization.

258618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 46.

The square root of 258618880 is about 16081.6317580027. The cubic root of 258618880 is about 637.1182941171.

The spelling of 258618880 in words is "two hundred fifty-eight million, six hundred eighteen thousand, eight hundred eighty".