396536832 has 132 divisors (see below), whose sum is σ = 1212822936. Its totient is φ = 124354560.

The previous prime is 396536801. The next prime is 396536843. The reversal of 396536832 is 238635693.

396536832 is a `hidden beast` number, since 39 + 6 + 536 + 83 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 155407 + ... + 157937.

Almost surely, 2^396536832 is an apocalyptic number.

396536832 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 396536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606411468).

396536832 is an abundant number, since it is smaller than the sum of its proper divisors (816286104).

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

396536832 is a wasteful number, since it uses less digits than its factorization.

396536832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2553 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 396536832 is about 19913.2325853941. The cubic root of 396536832 is about 734.6737299630.

The spelling of 396536832 in words is "three hundred ninety-six million, five hundred thirty-six thousand, eight hundred thirty-two".