406432 has 24 divisors (see below), whose sum is σ = 862596. Its totient is φ = 187392.

The previous prime is 406423. The next prime is 406447. The reversal of 406432 is 234604.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 1936 = 636^2 + 44^2 .

It is an unprimeable number.

406432 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 3 ways as a sum of consecutive naturals, for example, 73 + ... + 904.

2⁴⁰⁶⁴³² is an apocalyptic number.

It is an amenable number.

406432 is an abundant number, since it is smaller than the sum of its proper divisors (456164).

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

406432 is a wasteful number, since it uses less digits than its factorization.

406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 406432 is about 637.5201957585. The cubic root of 406432 is about 74.0734600443.

It can be divided in two parts, 4064 and 32, that added together give a 12-th power (4096 = 2¹²).

The spelling of 406432 in words is "four hundred six thousand, four hundred thirty-two".