406431824 has 20 divisors (see below), whose sum is σ = 812864640. Its totient is φ = 196660320.

The previous prime is 406431821. The next prime is 406431833. The reversal of 406431824 is 428134604.

406431824 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406431821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 409214 + ... + 410205.

It is an arithmetic number, because the mean of its divisors is an integer number (40643232).

Almost surely, 2^406431824 is an apocalyptic number.

It is an amenable number.

406431824 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

406431824 is a wasteful number, since it uses less digits than its factorization.

406431824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819458 (or 819452 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 406431824 is about 20160.1543644884. The cubic root of 406431824 is about 740.7344935211.

The spelling of 406431824 in words is "four hundred six million, four hundred thirty-one thousand, eight hundred twenty-four".