385741200 has 240 divisors, whose sum is σ = 1351857920. Its totient is φ = 93450240.

The previous prime is 385741193. The next prime is 385741201. The reversal of 385741200 is 2147583.

385741200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385741201) 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 47 ways as a sum of consecutive naturals, for example, 1232244 + ... + 1232556.

Almost surely, 2^385741200 is an apocalyptic number.

385741200 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 385741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675928960).

385741200 is an abundant number, since it is smaller than the sum of its proper divisors (966116720).

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

385741200 is a wasteful number, since it uses less digits than its factorization.

385741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 385741200 is about 19640.2953134621. The cubic root of 385741200 is about 727.9451816389.

Adding to 385741200 its reverse (2147583), we get a palindrome (387888783).

The spelling of 385741200 in words is "three hundred eighty-five million, seven hundred forty-one thousand, two hundred".