384945360 has 120 divisors (see below), whose sum is σ = 1218401184. Its totient is φ = 100538880.

The previous prime is 384945359. The next prime is 384945389. The reversal of 384945360 is 63549483.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673875 + ... + 674445.

Almost surely, 2^384945360 is an apocalyptic number.

384945360 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 384945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609200592).

384945360 is an abundant number, since it is smaller than the sum of its proper divisors (833455824).

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

384945360 is a wasteful number, since it uses less digits than its factorization.

384945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 384945360 is about 19620.0244648166. The cubic root of 384945360 is about 727.4442181578. Note that the first 3 decimals are identical.

The spelling of 384945360 in words is "three hundred eighty-four million, nine hundred forty-five thousand, three hundred sixty".