384413840 has 40 divisors (see below), whose sum is σ = 907114560. Its totient is φ = 151468416.

The previous prime is 384413803. The next prime is 384413849. The reversal of 384413840 is 48314483.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×384413840³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384413840.

It is not an unprimeable number, because it can be changed into a prime (384413849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30500 + ... + 41219.

It is an arithmetic number, because the mean of its divisors is an integer number (22677864).

Almost surely, 2^384413840 is an apocalyptic number.

It is an amenable number.

384413840 is an abundant number, since it is smaller than the sum of its proper divisors (522700720).

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

384413840 is a wasteful number, since it uses less digits than its factorization.

384413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71799 (or 71793 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 384413840 is about 19606.4744408575. The cubic root of 384413840 is about 727.1092535229.

The spelling of 384413840 in words is "three hundred eighty-four million, four hundred thirteen thousand, eight hundred forty".