394394400 has 432 divisors, whose sum is σ = 1551463200. Its totient is φ = 96422400.

The previous prime is 394394389. The next prime is 394394401. The reversal of 394394400 is 4493493.

It is a tau number, because it is divible by the number of its divisors (432).

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 (394394401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12722385 + ... + 12722415.

It is an arithmetic number, because the mean of its divisors is an integer number (3591350).

Almost surely, 2^394394400 is an apocalyptic number.

394394400 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 394394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775731600).

394394400 is an abundant number, since it is smaller than the sum of its proper divisors (1157068800).

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

394394400 is a wasteful number, since it uses less digits than its factorization.

394394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 394394400 is about 19859.3655487782. The cubic root of 394394400 is about 733.3482274294.

The spelling of 394394400 in words is "three hundred ninety-four million, three hundred ninety-four thousand, four hundred".