396416160 has 192 divisors, whose sum is σ = 1585785600. Its totient is φ = 90602496.

The previous prime is 396416147. The next prime is 396416177. The reversal of 396416160 is 61614693.

396416160 is a `hidden beast` number, since 3 + 9 + 641 + 6 + 1 + 6 + 0 = 666.

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

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, 23686 + ... + 36794.

It is an arithmetic number, because the mean of its divisors is an integer number (8259300).

Almost surely, 2^396416160 is an apocalyptic number.

396416160 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 396416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792892800).

396416160 is an abundant number, since it is smaller than the sum of its proper divisors (1189369440).

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

396416160 is a wasteful number, since it uses less digits than its factorization.

396416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396416160 is about 19910.2024098199. The cubic root of 396416160 is about 734.5991983889.

The spelling of 396416160 in words is "three hundred ninety-six million, four hundred sixteen thousand, one hundred sixty".