394430400 has 756 divisors, whose sum is σ = 1797067272. Its totient is φ = 81285120.

The previous prime is 394430369. The next prime is 394430419. The reversal of 394430400 is 4034493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172779 + ... + 9172821.

Almost surely, 2^394430400 is an apocalyptic number.

394430400 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 394430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898533636).

394430400 is an abundant number, since it is smaller than the sum of its proper divisors (1402636872).

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

394430400 is a wasteful number, since it uses less digits than its factorization.

394430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 394430400 is about 19860.2719014620. The cubic root of 394430400 is about 733.3705398937.

Adding to 394430400 its reverse (4034493), we get a palindrome (398464893).

The spelling of 394430400 in words is "three hundred ninety-four million, four hundred thirty thousand, four hundred".