385424384 has 44 divisors (see below), whose sum is σ = 797101800. Its totient is φ = 186052608.

The previous prime is 385424381. The next prime is 385424407. The reversal of 385424384 is 483424583.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385424381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23207 + ... + 36185.

It is an arithmetic number, because the mean of its divisors is an integer number (18115950).

Almost surely, 2^385424384 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 385424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398550900).

385424384 is an abundant number, since it is smaller than the sum of its proper divisors (411677416).

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

385424384 is a wasteful number, since it uses less digits than its factorization.

385424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13028 (or 13010 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 385424384 is about 19632.2281975327. The cubic root of 385424384 is about 727.7458356800.

The spelling of 385424384 in words is "three hundred eighty-five million, four hundred twenty-four thousand, three hundred eighty-four".