394908160 has 160 divisors (see below), whose sum is σ = 1042968960. Its totient is φ = 142737408.

The previous prime is 394908149. The next prime is 394908161. The reversal of 394908160 is 61809493.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (394908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118544 + ... + 1118896.

It is an arithmetic number, because the mean of its divisors is an integer number (6518556).

Almost surely, 2^394908160 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 394908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521484480).

394908160 is an abundant number, since it is smaller than the sum of its proper divisors (648060800).

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

394908160 is a wasteful number, since it uses less digits than its factorization.

394908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 394908160 is about 19872.2962940874. The cubic root of 394908160 is about 733.6665226057. Note that the first 3 decimals are identical.

The spelling of 394908160 in words is "three hundred ninety-four million, nine hundred eight thousand, one hundred sixty".