395400 has 48 divisors (see below), whose sum is σ = 1227600. Its totient is φ = 105280.

The previous prime is 395383. The next prime is 395407. The reversal of 395400 is 4593.

It is not an unprimeable number, because it can be changed into a prime (395407) by changing a digit.

395400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (25575).

2³⁹⁵⁴⁰⁰ is an apocalyptic number.

395400 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 395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613800).

395400 is an abundant number, since it is smaller than the sum of its proper divisors (832200).

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

395400 is a wasteful number, since it uses less digits than its factorization.

395400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 395400 is about 628.8083968905. The cubic root of 395400 is about 73.3970978913.

Adding to 395400 its reverse (4593), we get a palindrome (399993).

The spelling of 395400 in words is "three hundred ninety-five thousand, four hundred".