384893152 has 48 divisors (see below), whose sum is σ = 884459520. Its totient is φ = 161440128.

The previous prime is 384893137. The next prime is 384893177. The reversal of 384893152 is 251398483.

It is a junction number, because it is equal to n+sod(n) for n = 384893099 and 384893108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7752 + ... + 28807.

It is an arithmetic number, because the mean of its divisors is an integer number (18426240).

Almost surely, 2^384893152 is an apocalyptic number.

384893152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384893152 is an abundant number, since it is smaller than the sum of its proper divisors (499566368).

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

384893152 is a wasteful number, since it uses less digits than its factorization.

384893152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36623 (or 36615 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 384893152 is about 19618.6939422582. The cubic root of 384893152 is about 727.4113302653.

The spelling of 384893152 in words is "three hundred eighty-four million, eight hundred ninety-three thousand, one hundred fifty-two".