384816432 has 160 divisors (see below), whose sum is σ = 1334914560. Its totient is φ = 92252160.

The previous prime is 384816389. The next prime is 384816461. The reversal of 384816432 is 234618483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44044 + ... + 52052.

It is an arithmetic number, because the mean of its divisors is an integer number (8343216).

Almost surely, 2^384816432 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 384816432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667457280).

384816432 is an abundant number, since it is smaller than the sum of its proper divisors (950098128).

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

384816432 is a wasteful number, since it uses less digits than its factorization.

384816432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8045 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 384816432 is about 19616.7385668464. The cubic root of 384816432 is about 727.3629958939.

The spelling of 384816432 in words is "three hundred eighty-four million, eight hundred sixteen thousand, four hundred thirty-two".