394320960 has 336 divisors, whose sum is σ = 1537728192. Its totient is φ = 95385600.

The previous prime is 394320959. The next prime is 394320973. The reversal of 394320960 is 69023493.

It is a happy number.

394320960 is a `hidden beast` number, since 394 + 3 + 209 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 855130 + ... + 855590.

It is an arithmetic number, because the mean of its divisors is an integer number (4576572).

Almost surely, 2^394320960 is an apocalyptic number.

394320960 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 394320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

394320960 is an abundant number, since it is smaller than the sum of its proper divisors (1143407232).

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

394320960 is a wasteful number, since it uses less digits than its factorization.

394320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 394320960 is about 19857.5164610281. The cubic root of 394320960 is about 733.3027057916.

The spelling of 394320960 in words is "three hundred ninety-four million, three hundred twenty thousand, nine hundred sixty".