384909120 has 84 divisors (see below), whose sum is σ = 1323936900. Its totient is φ = 102641664.

The previous prime is 384909089. The next prime is 384909137. The reversal of 384909120 is 21909483.

384909120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 345067776 = 6312^2 + 18576^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63945 + ... + 69704.

Almost surely, 2^384909120 is an apocalyptic number.

384909120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384909120 is an abundant number, since it is smaller than the sum of its proper divisors (939027780).

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

384909120 is a wasteful number, since it uses less digits than its factorization.

384909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133672 (or 133659 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 384909120 is about 19619.1008968301. The cubic root of 384909120 is about 727.4213894583.

The spelling of 384909120 in words is "three hundred eighty-four million, nine hundred nine thousand, one hundred twenty".