396668960 has 96 divisors (see below), whose sum is σ = 988349040. Its totient is φ = 150212608.

The previous prime is 396668957. The next prime is 396668981. The reversal of 396668960 is 69866693.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 244985104 + 151683856 = 15652^2 + 12316^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245114 + ... + 246726.

Almost surely, 2^396668960 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 396668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494174520).

396668960 is an abundant number, since it is smaller than the sum of its proper divisors (591680080).

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

396668960 is a wasteful number, since it uses less digits than its factorization.

396668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The square root of 396668960 is about 19916.5499020287. The cubic root of 396668960 is about 734.7553198543.

The spelling of 396668960 in words is "three hundred ninety-six million, six hundred sixty-eight thousand, nine hundred sixty".