383930820 has 288 divisors, whose sum is σ = 1480631040. Its totient is φ = 80870400.

The previous prime is 383930801. The next prime is 383930821. The reversal of 383930820 is 28039383.

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

It is not an unprimeable number, because it can be changed into a prime (383930821) 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 95 ways as a sum of consecutive naturals, for example, 638520 + ... + 639120.

It is an arithmetic number, because the mean of its divisors is an integer number (5141080).

Almost surely, 2^383930820 is an apocalyptic number.

383930820 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 383930820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740315520).

383930820 is an abundant number, since it is smaller than the sum of its proper divisors (1096700220).

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

383930820 is a wasteful number, since it uses less digits than its factorization.

383930820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 383930820 is about 19594.1526992111. The cubic root of 383930820 is about 726.8045857605.

The spelling of 383930820 in words is "three hundred eighty-three million, nine hundred thirty thousand, eight hundred twenty".