396546176 has 64 divisors (see below), whose sum is σ = 856457280. Its totient is φ = 181797888.

The previous prime is 396546167. The next prime is 396546187. The reversal of 396546176 is 671645693.

It is a tau number, because it is divible by the number of its divisors (64).

It is a cake number, because a cake can be divided into 396546176 parts by 1335 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 396546176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277175 + ... + 278601.

It is an arithmetic number, because the mean of its divisors is an integer number (13382145).

Almost surely, 2^396546176 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 396546176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428228640).

396546176 is an abundant number, since it is smaller than the sum of its proper divisors (459911104).

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

396546176 is a wasteful number, since it uses less digits than its factorization.

396546176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 396546176 is about 19913.4672018712. The cubic root of 396546176 is about 734.6795005387.

The spelling of 396546176 in words is "three hundred ninety-six million, five hundred forty-six thousand, one hundred seventy-six".