385200 has 90 divisors (see below), whose sum is σ = 1349244. Its totient is φ = 101760.

The previous prime is 385199. The next prime is 385223. The reversal of 385200 is 2583.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385200.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3547 + ... + 3653.

2³⁸⁵²⁰⁰ is an apocalyptic number.

385200 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 385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674622).

385200 is an abundant number, since it is smaller than the sum of its proper divisors (964044).

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

385200 is a wasteful number, since it uses less digits than its factorization.

385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 385200 is about 620.6448259673. The cubic root of 385200 is about 72.7604583399.

Adding to 385200 its reverse (2583), we get a palindrome (387783).

It can be divided in two parts, 385 and 200, that added together give a palindrome (585).

The spelling of 385200 in words is "three hundred eighty-five thousand, two hundred".