384616960 has 240 divisors, whose sum is σ = 1150212096. Its totient is φ = 120766464.

The previous prime is 384616927. The next prime is 384616963. The reversal of 384616960 is 69616483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384616963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028417 + ... + 3028543.

Almost surely, 2^384616960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575106048).

384616960 is an abundant number, since it is smaller than the sum of its proper divisors (765595136).

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

384616960 is a wasteful number, since it uses less digits than its factorization.

384616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 384616960 is about 19611.6536783618. The cubic root of 384616960 is about 727.2372964557.

The spelling of 384616960 in words is "three hundred eighty-four million, six hundred sixteen thousand, nine hundred sixty".