258509160 has 288 divisors, whose sum is σ = 1041431040. Its totient is φ = 54452736.

The previous prime is 258509137. The next prime is 258509201. The reversal of 258509160 is 61905852.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425577 + ... + 426183.

It is an arithmetic number, because the mean of its divisors is an integer number (3616080).

Almost surely, 2^258509160 is an apocalyptic number.

258509160 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 258509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520715520).

258509160 is an abundant number, since it is smaller than the sum of its proper divisors (782921880).

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

258509160 is a wasteful number, since it uses less digits than its factorization.

258509160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 258509160 is about 16078.2200507394. The cubic root of 258509160 is about 637.0281814549.

The spelling of 258509160 in words is "two hundred fifty-eight million, five hundred nine thousand, one hundred sixty".