384467104 has 72 divisors (see below), whose sum is σ = 919084320. Its totient is φ = 155053056.

The previous prime is 384467099. The next prime is 384467131. The reversal of 384467104 is 401764483.

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 11 ways as a sum of consecutive naturals, for example, 61767 + ... + 67705.

It is an arithmetic number, because the mean of its divisors is an integer number (12765060).

Almost surely, 2^384467104 is an apocalyptic number.

384467104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384467104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459542160).

384467104 is an abundant number, since it is smaller than the sum of its proper divisors (534617216).

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

384467104 is a wasteful number, since it uses less digits than its factorization.

384467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 384467104 is about 19607.8327206247. The cubic root of 384467104 is about 727.1428344840.

The spelling of 384467104 in words is "three hundred eighty-four million, four hundred sixty-seven thousand, one hundred four".