396754320 has 80 divisors (see below), whose sum is σ = 1232153280. Its totient is φ = 105610752.

The previous prime is 396754289. The next prime is 396754321. The reversal of 396754320 is 23457693.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (396754321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176242 + ... + 178478.

It is an arithmetic number, because the mean of its divisors is an integer number (15401916).

Almost surely, 2^396754320 is an apocalyptic number.

396754320 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 396754320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616076640).

396754320 is an abundant number, since it is smaller than the sum of its proper divisors (835398960).

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

396754320 is a wasteful number, since it uses less digits than its factorization.

396754320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 396754320 is about 19918.6927281888. The cubic root of 396754320 is about 734.8080205713.

The spelling of 396754320 in words is "three hundred ninety-six million, seven hundred fifty-four thousand, three hundred twenty".