384388440 has 64 divisors (see below), whose sum is σ = 1154649600. Its totient is φ = 102371712.

The previous prime is 384388423. The next prime is 384388441. The reversal of 384388440 is 44883483.

It is a super-3 number, since 3×384388440³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384388392 and 384388401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384388441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123139 + ... + 126221.

It is an arithmetic number, because the mean of its divisors is an integer number (18041400).

Almost surely, 2^384388440 is an apocalyptic number.

384388440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384388440 is an abundant number, since it is smaller than the sum of its proper divisors (770261160).

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

384388440 is a wasteful number, since it uses less digits than its factorization.

384388440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 384388440 is about 19605.8266849424. The cubic root of 384388440 is about 727.0932386799.

The spelling of 384388440 in words is "three hundred eighty-four million, three hundred eighty-eight thousand, four hundred forty".