385301200 has 30 divisors (see below), whose sum is σ = 925687094. Its totient is φ = 154120320.

The previous prime is 385301197. The next prime is 385301207. The reversal of 385301200 is 2103583.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 383063184 = 1496^2 + 19572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385301207) 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 5 ways as a sum of consecutive naturals, for example, 481227 + ... + 482026.

Almost surely, 2^385301200 is an apocalyptic number.

It is an amenable number.

385301200 is an abundant number, since it is smaller than the sum of its proper divisors (540385894).

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

385301200 is a wasteful number, since it uses less digits than its factorization.

385301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963271 (or 963260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 385301200 is about 19629.0906564721. The cubic root of 385301200 is about 727.6682967394.

Adding to 385301200 its reverse (2103583), we get a palindrome (387404783).

The spelling of 385301200 in words is "three hundred eighty-five million, three hundred one thousand, two hundred".