396307968 has 320 divisors, whose sum is σ = 1319915520. Its totient is φ = 103219200.

The previous prime is 396307949. The next prime is 396307973. The reversal of 396307968 is 869703693.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 396307968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9666028 + ... + 9666068.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^396307968 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 396307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

396307968 is an abundant number, since it is smaller than the sum of its proper divisors (923607552).

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

396307968 is a wasteful number, since it uses less digits than its factorization.

396307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 396307968 is about 19907.4852254121. The cubic root of 396307968 is about 734.5323620722.

The spelling of 396307968 in words is "three hundred ninety-six million, three hundred seven thousand, nine hundred sixty-eight".