396456768 has 140 divisors (see below), whose sum is σ = 1213624192. Its totient is φ = 127837440.

The previous prime is 396456763. The next prime is 396456791. The reversal of 396456768 is 867654693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396456763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159471 + ... + 161937.

Almost surely, 2^396456768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606812096).

396456768 is an abundant number, since it is smaller than the sum of its proper divisors (817167424).

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

396456768 is a wasteful number, since it uses less digits than its factorization.

396456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2503 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 396456768 is about 19911.2221623887. Note that the first 3 decimals coincide. The cubic root of 396456768 is about 734.6242811081.

The spelling of 396456768 in words is "three hundred ninety-six million, four hundred fifty-six thousand, seven hundred sixty-eight".