384585360 has 80 divisors (see below), whose sum is σ = 1210059456. Its totient is φ = 101021184.

The previous prime is 384585353. The next prime is 384585433. The reversal of 384585360 is 63585483.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122 + ... + 28038.

Almost surely, 2^384585360 is an apocalyptic number.

384585360 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 384585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605029728).

384585360 is an abundant number, since it is smaller than the sum of its proper divisors (825474096).

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

384585360 is a wasteful number, since it uses less digits than its factorization.

384585360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24000 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 384585360 is about 19610.8480183800. The cubic root of 384585360 is about 727.2173793864.

The spelling of 384585360 in words is "three hundred eighty-four million, five hundred eighty-five thousand, three hundred sixty".