384909640 has 128 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 141926400.

The previous prime is 384909617. The next prime is 384909643. The reversal of 384909640 is 46909483.

It is not an unprimeable number, because it can be changed into a prime (384909643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3406224 + ... + 3406336.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^384909640 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 384909640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

384909640 is an abundant number, since it is smaller than the sum of its proper divisors (552772280).

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

384909640 is a wasteful number, since it uses less digits than its factorization.

384909640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

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

The square root of 384909640 is about 19619.1141492168. The cubic root of 384909640 is about 727.4217170326.

The spelling of 384909640 in words is "three hundred eighty-four million, nine hundred nine thousand, six hundred forty".