258959160 has 128 divisors (see below), whose sum is σ = 866937600. Its totient is φ = 68757120.

The previous prime is 258959131. The next prime is 258959161. The reversal of 258959160 is 61959852.

258959160 is a `hidden beast` number, since 2 + 58 + 9 + 591 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258959161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374415 + ... + 375105.

It is an arithmetic number, because the mean of its divisors is an integer number (6772950).

Almost surely, 2^258959160 is an apocalyptic number.

258959160 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 258959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433468800).

258959160 is an abundant number, since it is smaller than the sum of its proper divisors (607978440).

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

258959160 is a wasteful number, since it uses less digits than its factorization.

258959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 258959160 is about 16092.2080523463. The cubic root of 258959160 is about 637.3976029307.

The spelling of 258959160 in words is "two hundred fifty-eight million, nine hundred fifty-nine thousand, one hundred sixty".