396220176 has 120 divisors (see below), whose sum is σ = 1248848640. Its totient is φ = 116179200.

The previous prime is 396220163. The next prime is 396220211. The reversal of 396220176 is 671022693.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396220176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45070 + ... + 53138.

It is an arithmetic number, because the mean of its divisors is an integer number (10407072).

Almost surely, 2^396220176 is an apocalyptic number.

396220176 is a gapful number since it is divisible by the number (36) 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 396220176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624424320).

396220176 is an abundant number, since it is smaller than the sum of its proper divisors (852628464).

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

396220176 is a wasteful number, since it uses less digits than its factorization.

396220176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 396220176 is about 19905.2801035303. The cubic root of 396220176 is about 734.4781190485.

The spelling of 396220176 in words is "three hundred ninety-six million, two hundred twenty thousand, one hundred seventy-six".