406083456 has 160 divisors (see below), whose sum is σ = 1232965800. Its totient is φ = 132627456.

The previous prime is 406083439. The next prime is 406083479. The reversal of 406083456 is 654380604.

406083456 is a `hidden beast` number, since 4 + 0 + 608 + 3 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 406083456.

It is a congruent number.

It is an unprimeable 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 19 ways as a sum of consecutive naturals, for example, 549135 + ... + 549873.

Almost surely, 2^406083456 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 406083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616482900).

406083456 is an abundant number, since it is smaller than the sum of its proper divisors (826882344).

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

406083456 is an equidigital number, since it uses as much as digits as its factorization.

406083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406083456 is about 20151.5124990657. The cubic root of 406083456 is about 740.5227958952.

The spelling of 406083456 in words is "four hundred six million, eighty-three thousand, four hundred fifty-six".