394080960 has 336 divisors, whose sum is σ = 1552870656. Its totient is φ = 82907136.

The previous prime is 394080949. The next prime is 394080979. The reversal of 394080960 is 69080493.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135507 + ... + 1135853.

Almost surely, 2^394080960 is an apocalyptic number.

394080960 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 394080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776435328).

394080960 is an abundant number, since it is smaller than the sum of its proper divisors (1158789696).

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

394080960 is a wasteful number, since it uses less digits than its factorization.

394080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 394080960 is about 19851.4724894654. The cubic root of 394080960 is about 733.1539028410.

The spelling of 394080960 in words is "three hundred ninety-four million, eighty thousand, nine hundred sixty".