384608760 has 128 divisors (see below), whose sum is σ = 1210498560. Its totient is φ = 97574400.

The previous prime is 384608729. The next prime is 384608761. The reversal of 384608760 is 67806483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384608761) by changing a digit.

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, 913350 + ... + 913770.

It is an arithmetic number, because the mean of its divisors is an integer number (9457020).

Almost surely, 2^384608760 is an apocalyptic number.

384608760 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 384608760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605249280).

384608760 is an abundant number, since it is smaller than the sum of its proper divisors (825889800).

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

384608760 is a wasteful number, since it uses less digits than its factorization.

384608760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 384608760 is about 19611.4446178756. Note that the first 3 decimals coincide. The cubic root of 384608760 is about 727.2321282071.

The spelling of 384608760 in words is "three hundred eighty-four million, six hundred eight thousand, seven hundred sixty".