396120816 has 480 divisors, whose sum is σ = 1509347840. Its totient is φ = 94058496.

The previous prime is 396120811. The next prime is 396120833. The reversal of 396120816 is 618021693.

396120816 is a `hidden beast` number, since 39 + 612 + 0 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396120811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9212091 + ... + 9212133.

Almost surely, 2^396120816 is an apocalyptic number.

396120816 is a gapful number since it is divisible by the number (36) 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 396120816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754673920).

396120816 is an abundant number, since it is smaller than the sum of its proper divisors (1113227024).

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

396120816 is a wasteful number, since it uses less digits than its factorization.

396120816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 396120816 is about 19902.7841268502. The cubic root of 396120816 is about 734.4167189723.

The spelling of 396120816 in words is "three hundred ninety-six million, one hundred twenty thousand, eight hundred sixteen".