394742400 has 192 divisors, whose sum is σ = 1400639520. Its totient is φ = 97136640.

The previous prime is 394742393. The next prime is 394742401. The reversal of 394742400 is 4247493.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (394742401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123219 + ... + 126381.

Almost surely, 2^394742400 is an apocalyptic number.

394742400 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 394742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700319760).

394742400 is an abundant number, since it is smaller than the sum of its proper divisors (1005897120).

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

394742400 is a wasteful number, since it uses less digits than its factorization.

394742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 394742400 is about 19868.1252261002. The cubic root of 394742400 is about 733.5638577379.

Adding to 394742400 its reverse (4247493), we get a palindrome (398989893).

The spelling of 394742400 in words is "three hundred ninety-four million, seven hundred forty-two thousand, four hundred".