403956 has 54 divisors (see below), whose sum is σ = 1193010. Its totient is φ = 114912.

The previous prime is 403951. The next prime is 403957. The reversal of 403956 is 659304.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 7056 = 630^2 + 84^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403951) by changing a digit.

403956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1650 + ... + 1878.

2⁴⁰³⁹⁵⁶ 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 403956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596505).

403956 is an abundant number, since it is smaller than the sum of its proper divisors (789054).

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

403956 is a wasteful number, since it uses less digits than its factorization.

403956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 403956 is about 635.5753299177. The cubic root of 403956 is about 73.9227340587.

It can be divided in two parts, 40395 and 6, that added together give a square (40401 = 201²).

The spelling of 403956 in words is "four hundred three thousand, nine hundred fifty-six".