385400 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 147200.

The previous prime is 385397. The next prime is 385403. The reversal of 385400 is 4583.

It is an interprime number because it is at equal distance from previous prime (385397) and next prime (385403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385400.

It is not an unprimeable number, because it can be changed into a prime (385403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8177 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁸⁵⁴⁰⁰ 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 385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

385400 is an abundant number, since it is smaller than the sum of its proper divisors (552040).

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

385400 is a wasteful number, since it uses less digits than its factorization.

385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 385400 is about 620.8059278068. The cubic root of 385400 is about 72.7730488330.

Adding to 385400 its reverse (4583), we get a palindrome (389983).

The spelling of 385400 in words is "three hundred eighty-five thousand, four hundred".