384422976 has 224 divisors, whose sum is σ = 1315272960. Its totient is φ = 107827200.

The previous prime is 384422963. The next prime is 384422981. The reversal of 384422976 is 679224483.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737596 + ... + 738116.

Almost surely, 2^384422976 is an apocalyptic number.

384422976 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 384422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657636480).

384422976 is an abundant number, since it is smaller than the sum of its proper divisors (930849984).

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

384422976 is a wasteful number, since it uses less digits than its factorization.

384422976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 384422976 is about 19606.7074237364. The cubic root of 384422976 is about 727.1150136498.

The spelling of 384422976 in words is "three hundred eighty-four million, four hundred twenty-two thousand, nine hundred seventy-six".