396112320 has 168 divisors, whose sum is σ = 1380500160. Its totient is φ = 104232960.

The previous prime is 396112319. The next prime is 396112373. The reversal of 396112320 is 23211693.

396112320 is a `hidden beast` number, since 3 + 9 + 611 + 23 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 226650 + ... + 228390.

Almost surely, 2^396112320 is an apocalyptic number.

396112320 is a gapful number since it is divisible by the number (30) 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 396112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690250080).

396112320 is an abundant number, since it is smaller than the sum of its proper divisors (984387840).

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

396112320 is a wasteful number, since it uses less digits than its factorization.

396112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 396112320 is about 19902.5706882302. The cubic root of 396112320 is about 734.4114683444.

The spelling of 396112320 in words is "three hundred ninety-six million, one hundred twelve thousand, three hundred twenty".