384658000 has 80 divisors (see below), whose sum is σ = 940988880. Its totient is φ = 152064000.

The previous prime is 384657991. The next prime is 384658019. The reversal of 384658000 is 856483.

It can be written as a sum of positive squares in 8 ways, for example, as 162409536 + 222248464 = 12744^2 + 14908^2 .

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176920 + ... + 179080.

It is an arithmetic number, because the mean of its divisors is an integer number (11762361).

Almost surely, 2^384658000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470494440).

384658000 is an abundant number, since it is smaller than the sum of its proper divisors (556330880).

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

384658000 is a wasteful number, since it uses less digits than its factorization.

384658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2257 counting only the distinct ones).

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

The square root of 384658000 is about 19612.6999671131. The cubic root of 384658000 is about 727.2631618060.

The spelling of 384658000 in words is "three hundred eighty-four million, six hundred fifty-eight thousand".