394048800 has 216 divisors, whose sum is σ = 1441688976. Its totient is φ = 105027840.

The previous prime is 394048777. The next prime is 394048801. The reversal of 394048800 is 8840493.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (394048801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193387 + ... + 195413.

It is an arithmetic number, because the mean of its divisors is an integer number (6674486).

Almost surely, 2^394048800 is an apocalyptic number.

394048800 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 394048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720844488).

394048800 is an abundant number, since it is smaller than the sum of its proper divisors (1047640176).

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

394048800 is a wasteful number, since it uses less digits than its factorization.

394048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 394048800 is about 19850.6624574597. The cubic root of 394048800 is about 733.1339586558.

The spelling of 394048800 in words is "three hundred ninety-four million, forty-eight thousand, eight hundred".