384507960 has 64 divisors (see below), whose sum is σ = 1157345280. Its totient is φ = 102195840.

The previous prime is 384507947. The next prime is 384507967. The reversal of 384507960 is 69705483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384507967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32169 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (18083520).

Almost surely, 2^384507960 is an apocalyptic number.

384507960 is a gapful number since it is divisible by the number (30) 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 384507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

384507960 is an abundant number, since it is smaller than the sum of its proper divisors (772837320).

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

384507960 is a wasteful number, since it uses less digits than its factorization.

384507960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 384507960 is about 19608.8745215017. The cubic root of 384507960 is about 727.1685905631.

The spelling of 384507960 in words is "three hundred eighty-four million, five hundred seven thousand, nine hundred sixty".