403962 has 16 divisors (see below), whose sum is σ = 870240. Its totient is φ = 124272.

The previous prime is 403957. The next prime is 403969. The reversal of 403962 is 269304.

403962 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403962.

It is not an unprimeable number, because it can be changed into a prime (403969) by changing a digit.

403962 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2512 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (54390).

2⁴⁰³⁹⁶² is an apocalyptic number.

403962 is an abundant number, since it is smaller than the sum of its proper divisors (466278).

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

403962 is a wasteful number, since it uses less digits than its factorization.

403962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 403962 is about 635.5800500330. The cubic root of 403962 is about 73.9231000508.

The spelling of 403962 in words is "four hundred three thousand, nine hundred sixty-two".