394896384000 has 1176 divisors, whose sum is σ = 1544768207892. Its totient is φ = 100727193600.

The previous prime is 394896383963. The next prime is 394896384007. The reversal of 394896384000 is 483698493.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 266949955584 + 127946428416 = 516672^2 + 357696^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (394896384007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17169407989 + ... + 17169408011.

Almost surely, 2^394896384000 is an apocalyptic number.

394896384000 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 394896384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772384103946).

394896384000 is an abundant number, since it is smaller than the sum of its proper divisors (1149871823892).

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

394896384000 is an frugal number, since it uses more digits than its factorization.

394896384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 394896384000 in words is "three hundred ninety-four billion, eight hundred ninety-six million, three hundred eighty-four thousand".