258462160 has 80 divisors (see below), whose sum is σ = 660582720. Its totient is φ = 93265920.

The previous prime is 258462157. The next prime is 258462161. The reversal of 258462160 is 61264852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258462161) 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, 121264 + ... + 123376.

It is an arithmetic number, because the mean of its divisors is an integer number (8257284).

Almost surely, 2^258462160 is an apocalyptic number.

258462160 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 258462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330291360).

258462160 is an abundant number, since it is smaller than the sum of its proper divisors (402120560).

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

258462160 is a wasteful number, since it uses less digits than its factorization.

258462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 258462160 is about 16076.7583797232. The cubic root of 258462160 is about 636.9895727144.

The spelling of 258462160 in words is "two hundred fifty-eight million, four hundred sixty-two thousand, one hundred sixty".