394400 has 72 divisors (see below), whose sum is σ = 1054620. Its totient is φ = 143360.

The previous prime is 394393. The next prime is 394409. The reversal of 394400 is 4493.

394400 = T₁₃₅ + T₁₃₆ + ... + T₁₆₈.

It can be written as a sum of positive squares in 6 ways, for example, as 204304 + 190096 = 452^2 + 436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (394409) by changing a digit.

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, 13586 + ... + 13614.

2³⁹⁴⁴⁰⁰ 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 394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527310).

394400 is an abundant number, since it is smaller than the sum of its proper divisors (660220).

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

394400 is a wasteful number, since it uses less digits than its factorization.

394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 394400 is about 628.0127387243. The cubic root of 394400 is about 73.3351698346.

Adding to 394400 its reverse (4493), we get a palindrome (398893).

The spelling of 394400 in words is "three hundred ninety-four thousand, four hundred".