384418944 has 384 divisors, whose sum is σ = 1440566400. Its totient is φ = 95551488.

The previous prime is 384418939. The next prime is 384418961. The reversal of 384418944 is 449814483.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 384418944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991712 + ... + 1991904.

It is an arithmetic number, because the mean of its divisors is an integer number (3751475).

Almost surely, 2^384418944 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 384418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720283200).

384418944 is an abundant number, since it is smaller than the sum of its proper divisors (1056147456).

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

384418944 is a wasteful number, since it uses less digits than its factorization.

384418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 384418944 is about 19606.6046015112. The cubic root of 384418944 is about 727.1124715385.

The spelling of 384418944 in words is "three hundred eighty-four million, four hundred eighteen thousand, nine hundred forty-four".