258794160 has 160 divisors (see below), whose sum is σ = 845088768. Its totient is φ = 65387520.

The previous prime is 258794143. The next prime is 258794189. The reversal of 258794160 is 61497852.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954825 + ... + 955095.

Almost surely, 2^258794160 is an apocalyptic number.

258794160 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 258794160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422544384).

258794160 is an abundant number, since it is smaller than the sum of its proper divisors (586294608).

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

258794160 is a wasteful number, since it uses less digits than its factorization.

258794160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 258794160 is about 16087.0805306619. The cubic root of 258794160 is about 637.2621981183.

The spelling of 258794160 in words is "two hundred fifty-eight million, seven hundred ninety-four thousand, one hundred sixty".