396605160 has 448 divisors, whose sum is σ = 1605398400. Its totient is φ = 86220288.

The previous prime is 396605149. The next prime is 396605173. The reversal of 396605160 is 61506693.

396605160 is a `hidden beast` number, since 39 + 6 + 605 + 16 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5919447 + ... + 5919513.

Almost surely, 2^396605160 is an apocalyptic number.

396605160 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 396605160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802699200).

396605160 is an abundant number, since it is smaller than the sum of its proper divisors (1208793240).

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

396605160 is a wasteful number, since it uses less digits than its factorization.

396605160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 396605160 is about 19914.9481545898. The cubic root of 396605160 is about 734.7159252057.

The spelling of 396605160 in words is "three hundred ninety-six million, six hundred five thousand, one hundred sixty".