4086432 has 72 divisors (see below), whose sum is σ = 13287456. Its totient is φ = 1166976.

The previous prime is 4086431. The next prime is 4086449. The reversal of 4086432 is 2346804.

4086432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4086396 and 4086405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086431) by changing a digit.

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, 1003 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (184548).

Almost surely, 2^4086432 is an apocalyptic number.

4086432 is a gapful number since it is divisible by the number (42) 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 4086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643728).

4086432 is an abundant number, since it is smaller than the sum of its proper divisors (9201024).

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

4086432 is a wasteful number, since it uses less digits than its factorization.

4086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4086432 is about 2021.4925179184. The cubic root of 4086432 is about 159.8753195343.

The spelling of 4086432 in words is "four million, eighty-six thousand, four hundred thirty-two".