384418560 has 72 divisors (see below), whose sum is σ = 1227749040. Its totient is φ = 102510592.

The previous prime is 384418553. The next prime is 384418561. The reversal of 384418560 is 65814483.

It is not an unprimeable number, because it can be changed into a prime (384418561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46215 + ... + 53894.

It is an arithmetic number, because the mean of its divisors is an integer number (17052070).

Almost surely, 2^384418560 is an apocalyptic number.

384418560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384418560 is an abundant number, since it is smaller than the sum of its proper divisors (843330480).

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

384418560 is a wasteful number, since it uses less digits than its factorization.

384418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100133 (or 100119 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 384418560 is about 19606.5948088902. The cubic root of 384418560 is about 727.1122294317.

The spelling of 384418560 in words is "three hundred eighty-four million, four hundred eighteen thousand, five hundred sixty".