394800 has 120 divisors (see below), whose sum is σ = 1476096. Its totient is φ = 88320.

The previous prime is 394787. The next prime is 394811. The reversal of 394800 is 8493.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

394800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8377 + ... + 8423.

2³⁹⁴⁸⁰⁰ is an apocalyptic number.

394800 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 394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738048).

394800 is an abundant number, since it is smaller than the sum of its proper divisors (1081296).

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

394800 is a wasteful number, since it uses less digits than its factorization.

394800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 394800 is about 628.3311228962. The cubic root of 394800 is about 73.3599536046.

The spelling of 394800 in words is "three hundred ninety-four thousand, eight hundred".