384640256 has 288 divisors, whose sum is σ = 1098854400. Its totient is φ = 129392640.

The previous prime is 384640189. The next prime is 384640273. The reversal of 384640256 is 652046483.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4868825 + ... + 4868903.

Almost surely, 2^384640256 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 384640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549427200).

384640256 is an abundant number, since it is smaller than the sum of its proper divisors (714214144).

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

384640256 is a wasteful number, since it uses less digits than its factorization.

384640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

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

The square root of 384640256 is about 19612.2476019451. The cubic root of 384640256 is about 727.2519789232.

The spelling of 384640256 in words is "three hundred eighty-four million, six hundred forty thousand, two hundred fifty-six".