384971000 has 64 divisors (see below), whose sum is σ = 915744960. Its totient is φ = 151440000.

The previous prime is 384970991. The next prime is 384971009. The reversal of 384971000 is 179483.

It is an interprime number because it is at equal distance from previous prime (384970991) and next prime (384971009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384971009) 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, 57845 + ... + 64155.

It is an arithmetic number, because the mean of its divisors is an integer number (14308515).

Almost surely, 2^384971000 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 384971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457872480).

384971000 is an abundant number, since it is smaller than the sum of its proper divisors (530773960).

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

384971000 is a wasteful number, since it uses less digits than its factorization.

384971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 384971000 is about 19620.6778680045. The cubic root of 384971000 is about 727.4603687232.

The spelling of 384971000 in words is "three hundred eighty-four million, nine hundred seventy-one thousand".