385430544 has 60 divisors (see below), whose sum is σ = 1089391212. Its totient is φ = 127200000.

The previous prime is 385430509. The next prime is 385430569. The reversal of 385430544 is 445034583.

385430544 is a `hidden beast` number, since 3 + 85 + 4 + 30 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 272646144 + 112784400 = 16512^2 + 10620^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 385430499 and 385430508.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 27794.

Almost surely, 2^385430544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544695606).

385430544 is an abundant number, since it is smaller than the sum of its proper divisors (703960668).

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

385430544 is a wasteful number, since it uses less digits than its factorization.

385430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26616 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 385430544 is about 19632.3850817979. The cubic root of 385430544 is about 727.7497126968.

The spelling of 385430544 in words is "three hundred eighty-five million, four hundred thirty thousand, five hundred forty-four".