384224256 has 176 divisors, whose sum is σ = 1226562400. Its totient is φ = 118112256.

The previous prime is 384224233. The next prime is 384224263. The reversal of 384224256 is 652422483.

384224256 is a `hidden beast` number, since 384 + 2 + 24 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 384224256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358890 + ... + 359958.

Almost surely, 2^384224256 is an apocalyptic number.

384224256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613281200).

384224256 is an abundant number, since it is smaller than the sum of its proper divisors (842338144).

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

384224256 is a wasteful number, since it uses less digits than its factorization.

384224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1087 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 384224256 is about 19601.6391151352. The cubic root of 384224256 is about 726.9897027213.

The spelling of 384224256 in words is "three hundred eighty-four million, two hundred twenty-four thousand, two hundred fifty-six".