396032 has 72 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 147456.

The previous prime is 396031. The next prime is 396041. The reversal of 396032 is 230693.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 395989 and 396007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396032.

It is not an unprimeable number, because it can be changed into a prime (396031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23288 + ... + 23304.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2³⁹⁶⁰³² is an apocalyptic number.

396032 is a gapful number since it is divisible by the number (32) 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 396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

396032 is an abundant number, since it is smaller than the sum of its proper divisors (634144).

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

396032 is a wasteful number, since it uses less digits than its factorization.

396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 396032 is about 629.3107340575. The cubic root of 396032 is about 73.4361825929.

The spelling of 396032 in words is "three hundred ninety-six thousand, thirty-two".