396166848 has 224 divisors, whose sum is σ = 1323368448. Its totient is φ = 101606400.

The previous prime is 396166847. The next prime is 396166867. The reversal of 396166848 is 848661693.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 396166848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396166847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1877463 + ... + 1877673.

Almost surely, 2^396166848 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 396166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661684224).

396166848 is an abundant number, since it is smaller than the sum of its proper divisors (927201600).

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

396166848 is a wasteful number, since it uses less digits than its factorization.

396166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 396166848 is about 19903.9405143806. The cubic root of 396166848 is about 734.4451659845.

It can be divided in two parts, 39616 and 6848, that added together give a palindrome (46464).

The spelling of 396166848 in words is "three hundred ninety-six million, one hundred sixty-six thousand, eight hundred forty-eight".