403656 has 48 divisors (see below), whose sum is σ = 1117200. Its totient is φ = 121440.

The previous prime is 403649. The next prime is 403661. The reversal of 403656 is 656304.

403656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403656.

It is an unprimeable number.

403656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2835 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (23275).

2⁴⁰³⁶⁵⁶ 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 403656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558600).

403656 is an abundant number, since it is smaller than the sum of its proper divisors (713544).

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

403656 is a wasteful number, since it uses less digits than its factorization.

403656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 403656 is about 635.3392794405. The cubic root of 403656 is about 73.9044298272.

The spelling of 403656 in words is "four hundred three thousand, six hundred fifty-six".