406336832 has 56 divisors (see below), whose sum is σ = 885273312. Its totient is φ = 183513600.

The previous prime is 406336817. The next prime is 406336859. The reversal of 406336832 is 238633604.

It is a junction number, because it is equal to n+sod(n) for n = 406336792 and 406336801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112982 + ... + 116522.

It is an arithmetic number, because the mean of its divisors is an integer number (15808452).

Almost surely, 2^406336832 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 406336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442636656).

406336832 is an abundant number, since it is smaller than the sum of its proper divisors (478936480).

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

406336832 is a wasteful number, since it uses less digits than its factorization.

406336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 406336832 is about 20157.7982924723. The cubic root of 406336832 is about 740.6767804112.

The spelling of 406336832 in words is "four hundred six million, three hundred thirty-six thousand, eight hundred thirty-two".