394949446320 has 1280 divisors, whose sum is σ = 1556380385280. Its totient is φ = 81517363200.

The previous prime is 394949446291. The next prime is 394949446349. The reversal of 394949446320 is 23644949493.

It is a happy number.

394949446320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (394949446291) and next prime (394949446349).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3109838097 + ... + 3109838223.

It is an arithmetic number, because the mean of its divisors is an integer number (1215922176).

Almost surely, 2^394949446320 is an apocalyptic number.

394949446320 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 394949446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778190192640).

394949446320 is an abundant number, since it is smaller than the sum of its proper divisors (1161430938960).

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

394949446320 is a wasteful number, since it uses less digits than its factorization.

394949446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 57.

The spelling of 394949446320 in words is "three hundred ninety-four billion, nine hundred forty-nine million, four hundred forty-six thousand, three hundred twenty".