258291180 has 120 divisors (see below), whose sum is σ = 926062368. Its totient is φ = 59035392.

The previous prime is 258291157. The next prime is 258291181. The reversal of 258291180 is 81192852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258291181) 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 39 ways as a sum of consecutive naturals, for example, 49 + ... + 22728.

Almost surely, 2^258291180 is an apocalyptic number.

258291180 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 258291180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463031184).

258291180 is an abundant number, since it is smaller than the sum of its proper divisors (667771188).

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

258291180 is a wasteful number, since it uses less digits than its factorization.

258291180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22805 (or 22794 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 258291180 is about 16071.4398857103. The cubic root of 258291180 is about 636.8490795474.

The spelling of 258291180 in words is "two hundred fifty-eight million, two hundred ninety-one thousand, one hundred eighty".