406032 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 122880.

The previous prime is 406027. The next prime is 406037. The reversal of 406032 is 230604.

It is an interprime number because it is at equal distance from previous prime (406027) and next prime (406037).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406032.

It is not an unprimeable number, because it can be changed into a prime (406037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁴⁰⁶⁰³² 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 406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

406032 is an abundant number, since it is smaller than the sum of its proper divisors (739728).

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

406032 is a wasteful number, since it uses less digits than its factorization.

406032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 406032 is about 637.2064029810. The cubic root of 406032 is about 74.0491516651.

Adding to 406032 its reverse (230604), we get a palindrome (636636).

The spelling of 406032 in words is "four hundred six thousand, thirty-two".