385461200 has 30 divisors (see below), whose sum is σ = 926071494. Its totient is φ = 154184320.

The previous prime is 385461149. The next prime is 385461229. The reversal of 385461200 is 2164583.

It can be written as a sum of positive squares in 3 ways, for example, as 32171584 + 353289616 = 5672^2 + 18796^2 .

It is a congruent number.

It is an unprimeable number.

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, 481427 + ... + 482226.

Almost surely, 2^385461200 is an apocalyptic number.

It is an amenable number.

385461200 is an abundant number, since it is smaller than the sum of its proper divisors (540610294).

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

385461200 is a wasteful number, since it uses less digits than its factorization.

385461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963671 (or 963660 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 385461200 is about 19633.1658170556. The cubic root of 385461200 is about 727.7690065351.

The spelling of 385461200 in words is "three hundred eighty-five million, four hundred sixty-one thousand, two hundred".