394042320 has 600 divisors, whose sum is σ = 1708745544. Its totient is φ = 83607552.

The previous prime is 394042307. The next prime is 394042331. The reversal of 394042320 is 23240493.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 302342544 = 9576^2 + 17388^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397804 + ... + 5397876.

Almost surely, 2^394042320 is an apocalyptic number.

394042320 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 394042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854372772).

394042320 is an abundant number, since it is smaller than the sum of its proper divisors (1314703224).

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

394042320 is a wasteful number, since it uses less digits than its factorization.

394042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

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

The square root of 394042320 is about 19850.4992380544. The cubic root of 394042320 is about 733.1299399200.

The spelling of 394042320 in words is "three hundred ninety-four million, forty-two thousand, three hundred twenty".