396206352 has 120 divisors (see below), whose sum is σ = 1214754840. Its totient is φ = 119992320.

The previous prime is 396206351. The next prime is 396206357. The reversal of 396206352 is 253602693.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 318836736 = 8796^2 + 17856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (396206351) 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 23 ways as a sum of consecutive naturals, for example, 68202 + ... + 73782.

It is an arithmetic number, because the mean of its divisors is an integer number (10122957).

Almost surely, 2^396206352 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 396206352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607377420).

396206352 is an abundant number, since it is smaller than the sum of its proper divisors (818548488).

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

396206352 is a wasteful number, since it uses less digits than its factorization.

396206352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 396206352 is about 19904.9328559531. The cubic root of 396206352 is about 734.4695770440.

The spelling of 396206352 in words is "three hundred ninety-six million, two hundred six thousand, three hundred fifty-two".