384219820 has 24 divisors (see below), whose sum is σ = 812007504. Its totient is φ = 152707776.

The previous prime is 384219809. The next prime is 384219821. The reversal of 384219820 is 28912483.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 384219820.

It is not an unprimeable number, because it can be changed into a prime (384219821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58042 + ... + 64321.

It is an arithmetic number, because the mean of its divisors is an integer number (33833646).

Almost surely, 2^384219820 is an apocalyptic number.

It is an amenable number.

384219820 is an abundant number, since it is smaller than the sum of its proper divisors (427787684).

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

384219820 is a wasteful number, since it uses less digits than its factorization.

384219820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122529 (or 122527 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 384219820 is about 19601.5259610062. The cubic root of 384219820 is about 726.9869049292.

The spelling of 384219820 in words is "three hundred eighty-four million, two hundred nineteen thousand, eight hundred twenty".