385989220 has 48 divisors (see below), whose sum is σ = 851574528. Its totient is φ = 146678400.

The previous prime is 385989203. The next prime is 385989229. The reversal of 385989220 is 22989583.

385989220 is a nontrivial binomial coefficient, being equal to C(27785, 2).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (385989229) 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 15 ways as a sum of consecutive naturals, for example, 66682 + ... + 72238.

It is an arithmetic number, because the mean of its divisors is an integer number (17741136).

Almost surely, 2^385989220 is an apocalyptic number.

385989220 is the 27784-th triangular number.

385989220 is the 9262-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385989220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425787264).

385989220 is an abundant number, since it is smaller than the sum of its proper divisors (465585308).

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

385989220 is a wasteful number, since it uses less digits than its factorization.

385989220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 385989220 is about 19646.6083586964. The cubic root of 385989220 is about 728.1011638387.

The spelling of 385989220 in words is "three hundred eighty-five million, nine hundred eighty-nine thousand, two hundred twenty".