384414240 has 192 divisors, whose sum is σ = 1393459200. Its totient is φ = 87260160.

The previous prime is 384414223. The next prime is 384414241. The reversal of 384414240 is 42414483.

384414240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 384414198 and 384414207.

It is not an unprimeable number, because it can be changed into a prime (384414241) 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 31 ways as a sum of consecutive naturals, for example, 641461 + ... + 642059.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^384414240 is an apocalyptic number.

384414240 is a gapful number since it is divisible by the number (30) 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 384414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

384414240 is an abundant number, since it is smaller than the sum of its proper divisors (1009044960).

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

384414240 is a wasteful number, since it uses less digits than its factorization.

384414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 384414240 is about 19606.4846415669. The cubic root of 384414240 is about 727.1095057195.

The spelling of 384414240 in words is "three hundred eighty-four million, four hundred fourteen thousand, two hundred forty".