384920256 has 168 divisors, whose sum is σ = 1237666816. Its totient is φ = 103403520.

The previous prime is 384920227. The next prime is 384920267. The reversal of 384920256 is 652029483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 387921 + ... + 388911.

Almost surely, 2^384920256 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 384920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618833408).

384920256 is an abundant number, since it is smaller than the sum of its proper divisors (852746560).

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

384920256 is a wasteful number, since it uses less digits than its factorization.

384920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 384920256 is about 19619.3846998319. The cubic root of 384920256 is about 727.4284045224.

It can be divided in two parts, 38 and 4920256, that added together give a palindrome (4920294).

The spelling of 384920256 in words is "three hundred eighty-four million, nine hundred twenty thousand, two hundred fifty-six".