396651168 has 120 divisors (see below), whose sum is σ = 1176106932. Its totient is φ = 131134464.

The previous prime is 396651161. The next prime is 396651181. The reversal of 396651168 is 861156693.

It can be written as a sum of positive squares in 2 ways, for example, as 373726224 + 22924944 = 19332^2 + 4788^2 .

It is not an unprimeable number, because it can be changed into a prime (396651161) 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, 354546 + ... + 355662.

Almost surely, 2^396651168 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 396651168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588053466).

396651168 is an abundant number, since it is smaller than the sum of its proper divisors (779455764).

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

396651168 is a wasteful number, since it uses less digits than its factorization.

396651168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 396651168 is about 19916.1032333135. The cubic root of 396651168 is about 734.7443342354.

The spelling of 396651168 in words is "three hundred ninety-six million, six hundred fifty-one thousand, one hundred sixty-eight".