384064256 has 36 divisors (see below), whose sum is σ = 772730112. Its totient is φ = 190503936.

The previous prime is 384064253. The next prime is 384064259. The reversal of 384064256 is 652460483.

It is an interprime number because it is at equal distance from previous prime (384064253) and next prime (384064259).

It is not an unprimeable number, because it can be changed into a prime (384064253) 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, 26606 + ... + 38418.

Almost surely, 2^384064256 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 384064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386365056).

384064256 is an abundant number, since it is smaller than the sum of its proper divisors (388665856).

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

384064256 is a wasteful number, since it uses less digits than its factorization.

384064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11956 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 384064256 is about 19597.5573988189. The cubic root of 384064256 is about 726.8887768512. Note that the first 3 decimals are identical.

The spelling of 384064256 in words is "three hundred eighty-four million, sixty-four thousand, two hundred fifty-six".