394880 has 32 divisors (see below), whose sum is σ = 945540. Its totient is φ = 157696.

The previous prime is 394879. The next prime is 394897. The reversal of 394880 is 88493.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 53824 = 584^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 332 + ... + 948.

2³⁹⁴⁸⁸⁰ 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 394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472770).

394880 is an abundant number, since it is smaller than the sum of its proper divisors (550660).

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

394880 is an equidigital number, since it uses as much as digits as its factorization.

394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 394880 is about 628.3947803730. The cubic root of 394880 is about 73.3649083496.

The spelling of 394880 in words is "three hundred ninety-four thousand, eight hundred eighty".