385458200 has 48 divisors (see below), whose sum is σ = 898766880. Its totient is φ = 153740160.

The previous prime is 385458181. The next prime is 385458209. The reversal of 385458200 is 2854583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385458209) 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 11 ways as a sum of consecutive naturals, for example, 72017 + ... + 77183.

It is an arithmetic number, because the mean of its divisors is an integer number (18724310).

Almost surely, 2^385458200 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 385458200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449383440).

385458200 is an abundant number, since it is smaller than the sum of its proper divisors (513308680).

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

385458200 is a wasteful number, since it uses less digits than its factorization.

385458200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 385458200 is about 19633.0894155759. The cubic root of 385458200 is about 727.7671184828.

The spelling of 385458200 in words is "three hundred eighty-five million, four hundred fifty-eight thousand, two hundred".