258162080 has 48 divisors (see below), whose sum is σ = 665358624. Its totient is φ = 93876480.

The previous prime is 258162071. The next prime is 258162167. The reversal of 258162080 is 80261852.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71582 + ... + 75101.

It is an arithmetic number, because the mean of its divisors is an integer number (13861638).

Almost surely, 2^258162080 is an apocalyptic number.

258162080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258162080 is an abundant number, since it is smaller than the sum of its proper divisors (407196544).

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

258162080 is a wasteful number, since it uses less digits than its factorization.

258162080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146709 (or 146701 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 258162080 is about 16067.4229420900. The cubic root of 258162080 is about 636.7429578208.

The spelling of 258162080 in words is "two hundred fifty-eight million, one hundred sixty-two thousand, eighty".