394224000 has 256 divisors, whose sum is σ = 1344245760. Its totient is φ = 102144000.

The previous prime is 394223969. The next prime is 394224001. The reversal of 394224000 is 422493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063905 + ... + 2064095.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^394224000 is an apocalyptic number.

394224000 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 394224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672122880).

394224000 is an abundant number, since it is smaller than the sum of its proper divisors (950021760).

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

394224000 is a wasteful number, since it uses less digits than its factorization.

394224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 394224000 is about 19855.0749180153. The cubic root of 394224000 is about 733.2425966706.

Adding to 394224000 its reverse (422493), we get a palindrome (394646493).

The spelling of 394224000 in words is "three hundred ninety-four million, two hundred twenty-four thousand".