258032160 has 144 divisors (see below), whose sum is σ = 926976960. Its totient is φ = 65180160.

The previous prime is 258032153. The next prime is 258032167. The reversal of 258032160 is 61230852.

258032160 is a `hidden beast` number, since 2 + 580 + 3 + 21 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (258032153) and next prime (258032167).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (258032167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22645 + ... + 32075.

It is an arithmetic number, because the mean of its divisors is an integer number (6437340).

Almost surely, 2^258032160 is an apocalyptic number.

258032160 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 258032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463488480).

258032160 is an abundant number, since it is smaller than the sum of its proper divisors (668944800).

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

258032160 is a wasteful number, since it uses less digits than its factorization.

258032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258032160 is about 16063.3794700866. The cubic root of 258032160 is about 636.6361263215.

The spelling of 258032160 in words is "two hundred fifty-eight million, thirty-two thousand, one hundred sixty".